Atkin-Lehner |
2+ 3+ 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
79794a |
Isogeny class |
Conductor |
79794 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-4537246428 = -1 · 22 · 39 · 11 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,-3232] |
[a1,a2,a3,a4,a6] |
j |
-421875/230516 |
j-invariant |
L |
1.2377154726015 |
L(r)(E,1)/r! |
Ω |
0.61885771749509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79794q1 |
Quadratic twists by: -3 |