Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914bg |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-1707035258808 = -1 · 23 · 313 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2266,47388] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:208:1] |
Generators of the group modulo torsion |
j |
105756712489/140300424 |
j-invariant |
L |
9.4375799717378 |
L(r)(E,1)/r! |
Ω |
0.56575694597622 |
Real period |
R |
0.21386324265713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742h1 34914bb1 |
Quadratic twists by: -3 -23 |