Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920c |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
62597451240000 = 26 · 39 · 54 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716013,233200188] |
[a1,a2,a3,a4,a6] |
Generators |
[289:7100:1] |
Generators of the group modulo torsion |
j |
32226650420588352/49691875 |
j-invariant |
L |
4.1122441957492 |
L(r)(E,1)/r! |
Ω |
0.53000039306195 |
Real period |
R |
3.8794727792254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920bg1 123840ba1 61920bn1 |
Quadratic twists by: -4 8 -3 |