Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102b |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1646278756076 = -1 · 22 · 178 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 5 2 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25583,1574014] |
[a1,a2,a3,a4,a6] |
Generators |
[109:234:1] |
Generators of the group modulo torsion |
j |
-76711450249/68204 |
j-invariant |
L |
6.1522630230476 |
L(r)(E,1)/r! |
Ω |
0.83710080408915 |
Real period |
R |
0.91868610581217 |
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 |
2006d1 |
Quadratic twists by: 17 |