Atkin-Lehner |
2+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9430f |
Isogeny class |
Conductor |
9430 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
2278700562500 = 22 · 56 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3353,17256] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:87:1] |
Generators of the group modulo torsion |
j |
4167140736909961/2278700562500 |
j-invariant |
L |
2.2199823240368 |
L(r)(E,1)/r! |
Ω |
0.71365812155357 |
Real period |
R |
1.5553542074208 |
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 |
75440y1 84870bb1 47150n1 |
Quadratic twists by: -4 -3 5 |