Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960w |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
372864838533120 = 222 · 36 · 5 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45256,-3572240] |
[a1,a2,a3,a4,a6] |
Generators |
[346:4698:1] |
Generators of the group modulo torsion |
j |
2502660030961609/91031454720 |
j-invariant |
L |
3.0741858835369 |
L(r)(E,1)/r! |
Ω |
0.3280576299919 |
Real period |
R |
1.5618119107166 |
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 |
870b1 27840eb1 20880ck1 34800dh1 |
Quadratic twists by: -4 8 -3 5 |