Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050bh |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
51511250 = 2 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-376,2748] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:633:8] [-8:76:1] |
Generators of the group modulo torsion |
j |
191227225/1682 |
j-invariant |
L |
5.5960757255331 |
L(r)(E,1)/r! |
Ω |
2.0093014602998 |
Real period |
R |
0.46418086385766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050cc1 71050bc1 |
Quadratic twists by: 5 -7 |