Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944k |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
45095895770112 = 210 · 39 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108795,13808378] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:4428:1] |
Generators of the group modulo torsion |
j |
190775691638500/60410097 |
j-invariant |
L |
7.0955041193525 |
L(r)(E,1)/r! |
Ω |
0.62612165422139 |
Real period |
R |
1.4165586014945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472i1 21648d1 |
Quadratic twists by: -4 -3 |