Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
95940g |
Isogeny class |
Conductor |
95940 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
3636893520 = 24 · 38 · 5 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,7049] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:117:1] |
Generators of the group modulo torsion |
j |
3718856704/311805 |
j-invariant |
L |
6.9252147843365 |
L(r)(E,1)/r! |
Ω |
1.3688131598529 |
Real period |
R |
0.84321403158028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31980a1 |
Quadratic twists by: -3 |