Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710u |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-364520615680 = -1 · 28 · 5 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,137,29007] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:170:1] |
Generators of the group modulo torsion |
j |
59319/75520 |
j-invariant |
L |
4.2771250492073 |
L(r)(E,1)/r! |
Ω |
0.74740634818038 |
Real period |
R |
0.71532792303521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
590b1 |
Quadratic twists by: 13 |