Atkin-Lehner |
2- 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520bz |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1637222400 |
Modular degree for the optimal curve |
Δ |
3.4745730263358E+34 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4013808340920,-3095145356088282768] |
[a1,a2,a3,a4,a6] |
Generators |
[14497923971718652089503947451379981196043089197086432757852498491851412138156064452333985990675734596:-23874317471047285070700851713528975262485411755783199700863043559386840733822071336089147320770022604800:3686641971771155271283188044179839799237898764619837384672168295021602507981991233557429100959] |
Generators of the group modulo torsion |
j |
1745957458089824793658821537153909697081/8482844302577646464705495040000 |
j-invariant |
L |
5.8901442780608 |
L(r)(E,1)/r! |
Ω |
0.0033729548165465 |
Real period |
R |
145.52384576786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690m1 |
Quadratic twists by: -4 |