Atkin-Lehner |
2- 3+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718g |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-381622752 = -1 · 25 · 37 · 7 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 7 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,94,911] |
[a1,a2,a3,a4,a6] |
j |
91794884831/381622752 |
j-invariant |
L |
6.0427624075753 |
L(r)(E,1)/r! |
Ω |
1.2085524815167 |
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 |
98154bd1 |
Quadratic twists by: -3 |