Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10336n |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
113509952 = 26 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 0 0 4 -2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1625,-25208] |
[a1,a2,a3,a4,a6] |
j |
7414875000000/1773593 |
j-invariant |
L |
2.2558680941651 |
L(r)(E,1)/r! |
Ω |
0.75195603138837 |
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 |
10336j1 20672bc1 93024h1 |
Quadratic twists by: -4 8 -3 |