Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600o |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
41015466766828800 = 28 · 316 · 52 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164073,-23706477] |
[a1,a2,a3,a4,a6] |
j |
76323405880990720/6408666682317 |
j-invariant |
L |
3.815703298388 |
L(r)(E,1)/r! |
Ω |
0.23848145637408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800c1 63600l1 |
Quadratic twists by: -4 5 |