Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814o |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-2433667791403332224 = -1 · 27 · 1311 · 1032 |
Discriminant |
Eigenvalues |
2- -1 3 3 -4 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-593109,190916539] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:17508:1] |
Generators of the group modulo torsion |
j |
-4780432459339993/504198071936 |
j-invariant |
L |
9.5954622274194 |
L(r)(E,1)/r! |
Ω |
0.25124164715802 |
Real period |
R |
1.3640058621934 |
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 |
2678e1 |
Quadratic twists by: 13 |