Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910w |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
233130595353707520 = 210 · 39 · 5 · 77 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-730959,-239476478] |
[a1,a2,a3,a4,a6] |
Generators |
[-472:897:1] |
Generators of the group modulo torsion |
j |
367124756298856921/1981577364480 |
j-invariant |
L |
4.4224498209403 |
L(r)(E,1)/r! |
Ω |
0.16333057922904 |
Real period |
R |
1.5042599973576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130i1 |
Quadratic twists by: -7 |