Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25584h |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
132627456 = 210 · 35 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 -5 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144,324] |
[a1,a2,a3,a4,a6] |
Generators |
[0:18:1] |
Generators of the group modulo torsion |
j |
324730948/129519 |
j-invariant |
L |
8.5950064010082 |
L(r)(E,1)/r! |
Ω |
1.6788366061823 |
Real period |
R |
0.51196205570913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12792d1 102336ca1 76752l1 |
Quadratic twists by: -4 8 -3 |