Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
34840g |
Isogeny class |
Conductor |
34840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-57973760 = -1 · 210 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,-258] |
[a1,a2,a3,a4,a6] |
j |
49305564/56615 |
j-invariant |
L |
1.0659466448994 |
L(r)(E,1)/r! |
Ω |
1.0659466449083 |
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 |
69680b1 |
Quadratic twists by: -4 |