Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
39816c |
Isogeny class |
Conductor |
39816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
4207399590444624 = 24 · 39 · 73 · 794 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46506,2271985] |
[a1,a2,a3,a4,a6] |
Generators |
[17960:2406735:1] |
Generators of the group modulo torsion |
j |
953681071618048/360716700141 |
j-invariant |
L |
4.0602085579345 |
L(r)(E,1)/r! |
Ω |
0.39981429974572 |
Real period |
R |
5.0776179847936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79632h1 13272f1 |
Quadratic twists by: -4 -3 |