Atkin-Lehner |
2+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350f |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
27617187500 = 22 · 510 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 1 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3242,71416] |
[a1,a2,a3,a4,a6] |
j |
385956225/2828 |
j-invariant |
L |
2.3811779300813 |
L(r)(E,1)/r! |
Ω |
1.1905889650467 |
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 |
35350s1 |
Quadratic twists by: 5 |