Atkin-Lehner |
3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35175d |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
96181640625 = 3 · 510 · 72 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5338,-151594] |
[a1,a2,a3,a4,a6] |
j |
1076575468249/6155625 |
j-invariant |
L |
1.1174652290519 |
L(r)(E,1)/r! |
Ω |
0.55873261452115 |
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 |
105525p1 7035h1 |
Quadratic twists by: -3 5 |