Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760b |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-15527178619200000 = -1 · 29 · 39 · 55 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35397,5419602] |
[a1,a2,a3,a4,a6] |
Generators |
[5703667566:202230827334:4657463] |
Generators of the group modulo torsion |
j |
486700537896/1540746875 |
j-invariant |
L |
8.7698998503251 |
L(r)(E,1)/r! |
Ω |
0.27753344922939 |
Real period |
R |
15.79971684664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760ba1 113760bc1 |
Quadratic twists by: -4 -3 |