Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920x |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
814080 |
Modular degree for the optimal curve |
Δ |
927242179546069200 = 24 · 3 · 52 · 1110 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-691091,-215993820] |
[a1,a2,a3,a4,a6] |
Generators |
[-519:1617:1] |
Generators of the group modulo torsion |
j |
2281445347419190994944/57952636221629325 |
j-invariant |
L |
5.8453510365108 |
L(r)(E,1)/r! |
Ω |
0.16583970269434 |
Real period |
R |
3.5246994185021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840s1 122760u1 |
Quadratic twists by: -4 -3 |