Atkin-Lehner |
5+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13195d |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
1.9188662955015E+23 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -6 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118369871,-495290751332] |
[a1,a2,a3,a4,a6] |
j |
183420230680255230928528054129/191886629550152083990625 |
j-invariant |
L |
0.36619003902146 |
L(r)(E,1)/r! |
Ω |
0.045773754877683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755t1 65975g1 92365n1 |
Quadratic twists by: -3 5 -7 |