Atkin-Lehner |
2+ 7- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
129808d |
Isogeny class |
Conductor |
129808 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
483015568 = 24 · 7 · 19 · 613 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1072,-13117] |
[a1,a2,a3,a4,a6] |
Generators |
[-231679:65365:12167] |
Generators of the group modulo torsion |
j |
8523012944128/30188473 |
j-invariant |
L |
7.1448196001778 |
L(r)(E,1)/r! |
Ω |
0.83446784592051 |
Real period |
R |
8.5621270004301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999895912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64904c1 |
Quadratic twists by: -4 |