Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600g |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-2241354628800 = -1 · 26 · 35 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92038,-10716908] |
[a1,a2,a3,a4,a6] |
Generators |
[641375628042:75492955391414:46268279] |
Generators of the group modulo torsion |
j |
-9348149440/243 |
j-invariant |
L |
5.7477137683352 |
L(r)(E,1)/r! |
Ω |
0.13704926010952 |
Real period |
R |
20.969517689268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600gl1 117600hm1 117600db1 |
Quadratic twists by: -4 5 -7 |