Atkin-Lehner |
2- 3- 13- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34086j |
Isogeny class |
Conductor |
34086 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-309615522398208 = -1 · 214 · 39 · 133 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -2 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1818,-847260] |
[a1,a2,a3,a4,a6] |
Generators |
[108:414:1] |
Generators of the group modulo torsion |
j |
-664538702334625/309615522398208 |
j-invariant |
L |
11.084114960223 |
L(r)(E,1)/r! |
Ω |
0.24449883833373 |
Real period |
R |
0.11993126695473 |
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 |
102258k1 |
Quadratic twists by: -3 |