Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720i |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
601845224400 = 24 · 32 · 52 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2975,-49098] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:100:1] |
Generators of the group modulo torsion |
j |
182058354374656/37615326525 |
j-invariant |
L |
3.9383341490963 |
L(r)(E,1)/r! |
Ω |
0.65582161606136 |
Real period |
R |
3.0025955630809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360bb1 |
Quadratic twists by: -4 |