Atkin-Lehner |
2- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
434c |
Isogeny class |
Conductor |
434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-297724 = -1 · 22 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32,61] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/297724 |
j-invariant |
L |
3.0097830442508 |
L(r)(E,1)/r! |
Ω |
3.0097830442508 |
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 |
3472g1 13888e1 3906c1 10850k1 |
Quadratic twists by: -4 8 -3 5 |