Atkin-Lehner |
2- 3+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
35226b |
Isogeny class |
Conductor |
35226 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
844416 |
Modular degree for the optimal curve |
Δ |
31435400592 = 24 · 33 · 193 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4547942,-3731970075] |
[a1,a2,a3,a4,a6] |
j |
385304969944937042489763/1164274096 |
j-invariant |
L |
1.2405865797581 |
L(r)(E,1)/r! |
Ω |
0.10338221498227 |
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 |
35226a1 |
Quadratic twists by: -3 |