Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bv |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2140802289500160000 = -1 · 232 · 3 · 54 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,129304,68126004] |
[a1,a2,a3,a4,a6] |
j |
58370885971339031/522656808960000 |
j-invariant |
L |
2.2910937757658 |
L(r)(E,1)/r! |
Ω |
0.19092448131395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290d1 102960ep1 |
Quadratic twists by: -4 -3 |