Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600bc |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-95680000000000 = -1 · 215 · 510 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21875,1331250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1358:3131:8] |
Generators of the group modulo torsion |
j |
-28940625/2392 |
j-invariant |
L |
8.1610777237156 |
L(r)(E,1)/r! |
Ω |
0.58822759471848 |
Real period |
R |
6.9370068303583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950i1 119600ce1 |
Quadratic twists by: -4 5 |