Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bh |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
233235676800000 = 210 · 39 · 55 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1772427,908239754] |
[a1,a2,a3,a4,a6] |
Generators |
[763:270:1] |
Generators of the group modulo torsion |
j |
824899990643380516/312440625 |
j-invariant |
L |
6.3150158465705 |
L(r)(E,1)/r! |
Ω |
0.45177220744968 |
Real period |
R |
0.34945796523311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960z1 38640c1 |
Quadratic twists by: -4 -3 |