Atkin-Lehner |
3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635bf |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
8035246963578515625 = 312 · 58 · 77 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2295414,1332173695] |
[a1,a2,a3,a4,a6] |
j |
15595206456730321/93687890625 |
j-invariant |
L |
3.7550388004636 |
L(r)(E,1)/r! |
Ω |
0.23468991448791 |
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 |
34545f1 14805e1 |
Quadratic twists by: -3 -7 |