Atkin-Lehner |
2- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314w |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-2705584 = -1 · 24 · 73 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -2 3 7- -3 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29,97] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
-7880599/7888 |
j-invariant |
L |
7.4087844166751 |
L(r)(E,1)/r! |
Ω |
2.3274337632809 |
Real period |
R |
0.39790522363781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314r1 |
Quadratic twists by: -7 |