Atkin-Lehner |
5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30685h |
Isogeny class |
Conductor |
30685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-379895489075 = -1 · 52 · 17 · 197 |
Discriminant |
Eigenvalues |
2 -1 5- -2 2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-120,-29619] |
[a1,a2,a3,a4,a6] |
j |
-4096/8075 |
j-invariant |
L |
3.4472907265593 |
L(r)(E,1)/r! |
Ω |
0.43091134082001 |
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 |
1615c1 |
Quadratic twists by: -19 |