Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-7.1219854138493E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,999935,-129056257] |
[a1,a2,a3,a4,a6] |
Generators |
[8612:180477:64] |
Generators of the group modulo torsion |
j |
421792317902132351/271682182840320 |
j-invariant |
L |
9.3454316650544 |
L(r)(E,1)/r! |
Ω |
0.11138884481317 |
Real period |
R |
8.3899170073175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240cn1 28560cl1 |
Quadratic twists by: -4 8 |