Atkin-Lehner |
2+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3782a |
Isogeny class |
Conductor |
3782 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-937936 = -1 · 24 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ 0 -3 -3 -3 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131,613] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:37:1] [3:14:1] |
Generators of the group modulo torsion |
j |
-249689960073/937936 |
j-invariant |
L |
2.8057972942886 |
L(r)(E,1)/r! |
Ω |
2.8046554353789 |
Real period |
R |
0.25010178245918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30256e1 121024n1 34038k1 94550m1 |
Quadratic twists by: -4 8 -3 5 |