Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450c |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
213906250 = 2 · 57 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-250,1250] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
81289/10 |
j-invariant |
L |
3.0111644377691 |
L(r)(E,1)/r! |
Ω |
1.714190522256 |
Real period |
R |
0.8783050656222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690l1 68450x1 |
Quadratic twists by: 5 37 |