Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
124600v |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
776258000 = 24 · 53 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230,-75] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:35:1] [-6:33:1] |
Generators of the group modulo torsion |
j |
672786432/388129 |
j-invariant |
L |
10.666710866092 |
L(r)(E,1)/r! |
Ω |
1.3369634862208 |
Real period |
R |
1.9945778207923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124600k1 |
Quadratic twists by: 5 |