Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296bd |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-729606496661504 = -1 · 212 · 78 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28528,2264624] |
[a1,a2,a3,a4,a6] |
Generators |
[2955:18179:27] |
Generators of the group modulo torsion |
j |
-626870368456704/178126586099 |
j-invariant |
L |
12.225867016724 |
L(r)(E,1)/r! |
Ω |
0.48093731923754 |
Real period |
R |
1.5888072269719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4081b1 |
Quadratic twists by: -4 |