Atkin-Lehner |
2- 3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710bd |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-72081285120 = -1 · 213 · 32 · 5 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26001,-1615959] |
[a1,a2,a3,a4,a6] |
j |
-1943993954077461649/72081285120 |
j-invariant |
L |
4.8875851993584 |
L(r)(E,1)/r! |
Ω |
0.18798404612944 |
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 |
104130s1 |
Quadratic twists by: -3 |