Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504s |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2856960 |
Modular degree for the optimal curve |
Δ |
1.3428789853893E+19 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 1 7 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16007697,24656095249] |
[a1,a2,a3,a4,a6] |
j |
33781072 |
j-invariant |
L |
0.8329747351776 |
L(r)(E,1)/r! |
Ω |
0.20824368373628 |
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 |
61504bs1 7688i1 61504c1 |
Quadratic twists by: -4 8 -31 |