Atkin-Lehner |
3+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37791b |
Isogeny class |
Conductor |
37791 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63936 |
Modular degree for the optimal curve |
Δ |
-5042327777253 = -1 · 39 · 133 · 17 · 193 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 -3 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4129,-36260] |
[a1,a2,a3,a4,a6] |
Generators |
[70:734:1] |
Generators of the group modulo torsion |
j |
395608552821/256176791 |
j-invariant |
L |
2.9111825847889 |
L(r)(E,1)/r! |
Ω |
0.43876155354795 |
Real period |
R |
1.1058332106393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37791a1 |
Quadratic twists by: -3 |