Atkin-Lehner |
2+ 5- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119990i |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96192 |
Modular degree for the optimal curve |
Δ |
101391550 = 2 · 52 · 134 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -6 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3553,-81794] |
[a1,a2,a3,a4,a6] |
Generators |
[-17720:8759:512] |
Generators of the group modulo torsion |
j |
173604190201/3550 |
j-invariant |
L |
6.1242008323553 |
L(r)(E,1)/r! |
Ω |
0.61839494262417 |
Real period |
R |
4.951690615678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999412261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990k1 |
Quadratic twists by: 13 |