Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520h |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-120529944000 = -1 · 26 · 37 · 53 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,627,-15572] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1224:1] |
Generators of the group modulo torsion |
j |
584277056/2583375 |
j-invariant |
L |
6.6570450873723 |
L(r)(E,1)/r! |
Ω |
0.52914480693255 |
Real period |
R |
3.1451906057475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520q1 39840l1 |
Quadratic twists by: -4 -3 |