Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810c |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12489120 |
Modular degree for the optimal curve |
Δ |
2.6797238035449E+25 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 6 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103250014,317853855312] |
[a1,a2,a3,a4,a6] |
j |
238162810849/52428800 |
j-invariant |
L |
1.1339046579982 |
L(r)(E,1)/r! |
Ω |
0.062994703221355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810k1 |
Quadratic twists by: -59 |