Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530j |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-11123727360 = -1 · 210 · 3 · 5 · 232 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 6 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,183,5061] |
[a1,a2,a3,a4,a6] |
Generators |
[11:87:1] |
Generators of the group modulo torsion |
j |
671991189479/11123727360 |
j-invariant |
L |
3.0980029372097 |
L(r)(E,1)/r! |
Ω |
0.9505562017753 |
Real period |
R |
1.6295737860759 |
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 |
76590cd1 127650dj1 |
Quadratic twists by: -3 5 |