Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34814l |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
-5377296912832 = -1 · 26 · 138 · 103 |
Discriminant |
Eigenvalues |
2- 0 4 -1 2 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,137,-111601] |
[a1,a2,a3,a4,a6] |
j |
351/6592 |
j-invariant |
L |
6.3388520432592 |
L(r)(E,1)/r! |
Ω |
0.35215844684835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34814b1 |
Quadratic twists by: 13 |