Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cr |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
70629883289867520 = 28 · 32 · 5 · 1910 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -3 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-695045,222897177] |
[a1,a2,a3,a4,a6] |
j |
23658496/45 |
j-invariant |
L |
1.3865956923019 |
L(r)(E,1)/r! |
Ω |
0.34664890912935 |
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 |
21660bf1 86640dx1 |
Quadratic twists by: -4 -19 |