Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790ba |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-157137245440 = -1 · 28 · 5 · 73 · 713 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 5 -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,720,-17263] |
[a1,a2,a3,a4,a6] |
j |
120334284953/458126080 |
j-invariant |
L |
8.3240159938143 |
L(r)(E,1)/r! |
Ω |
0.52025099961377 |
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 |
34790p1 |
Quadratic twists by: -7 |