Atkin-Lehner |
2- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9430h |
Isogeny class |
Conductor |
9430 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
21689000000 = 26 · 56 · 232 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13285,588225] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:415:1] |
Generators of the group modulo torsion |
j |
259304725630092241/21689000000 |
j-invariant |
L |
5.1079344535842 |
L(r)(E,1)/r! |
Ω |
1.1533989854024 |
Real period |
R |
2.2142964049002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
75440w1 84870h1 47150c1 |
Quadratic twists by: -4 -3 5 |