Atkin-Lehner |
3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775bk |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-158641339420600875 = -1 · 32 · 53 · 1910 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 2 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5502,19164314] |
[a1,a2,a3,a4,a6] |
j |
147331808874496/1269130715364807 |
j-invariant |
L |
2.0409760767376 |
L(r)(E,1)/r! |
Ω |
0.25512200959219 |
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 |
98325cd1 32775k1 |
Quadratic twists by: -3 5 |