Atkin-Lehner |
2- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400z |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
5170000000000 = 210 · 510 · 11 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11+ 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,96412] |
[a1,a2,a3,a4,a6] |
Generators |
[1:302:1] |
Generators of the group modulo torsion |
j |
1562500/517 |
j-invariant |
L |
6.1058709331425 |
L(r)(E,1)/r! |
Ω |
0.70593298354354 |
Real period |
R |
4.3246817174618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400k1 |
Quadratic twists by: 5 |