Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352bk |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-24216072192 = -1 · 212 · 32 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832,-12172] |
[a1,a2,a3,a4,a6] |
Generators |
[47:234:1] |
Generators of the group modulo torsion |
j |
-15568817473/5912127 |
j-invariant |
L |
5.9342122441248 |
L(r)(E,1)/r! |
Ω |
0.43618556659173 |
Real period |
R |
1.7005985234947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
897b1 57408ci1 43056bq1 |
Quadratic twists by: -4 8 -3 |