Atkin-Lehner |
2+ 3- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390t |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
24763401000000 = 26 · 37 · 56 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9369,-251667] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:324:1] |
Generators of the group modulo torsion |
j |
124767644120209/33969000000 |
j-invariant |
L |
6.0905882777586 |
L(r)(E,1)/r! |
Ω |
0.49517318812866 |
Real period |
R |
0.51249647112121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130u1 |
Quadratic twists by: -3 |