Atkin-Lehner |
5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385i |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
9622332785 = 5 · 13 · 236 |
Discriminant |
Eigenvalues |
-1 -2 5- 4 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-540,-1073] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2055:1] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
2.7479767088965 |
L(r)(E,1)/r! |
Ω |
1.0603076578917 |
Real period |
R |
5.1833572802068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65a1 |
Quadratic twists by: -23 |