Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34983q |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
9425840055021 = 315 · 134 · 23 |
Discriminant |
Eigenvalues |
2 3- 3 -2 3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6591,143523] |
[a1,a2,a3,a4,a6] |
Generators |
[754:4793:8] |
Generators of the group modulo torsion |
j |
1520816128/452709 |
j-invariant |
L |
13.36445540583 |
L(r)(E,1)/r! |
Ω |
0.67612322231764 |
Real period |
R |
3.2943835691218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11661o1 34983s1 |
Quadratic twists by: -3 13 |