Atkin-Lehner |
2- 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30260a |
Isogeny class |
Conductor |
30260 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
183133520 = 24 · 5 · 172 · 892 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-452,3641] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:85:1] [-5:76:1] |
Generators of the group modulo torsion |
j |
638291460096/11445845 |
j-invariant |
L |
7.7819859526946 |
L(r)(E,1)/r! |
Ω |
1.8007294819431 |
Real period |
R |
1.4405247115551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121040y1 |
Quadratic twists by: -4 |