Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bk |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
39813120 |
Modular degree for the optimal curve |
Δ |
3.1630399120937E+25 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189989336,970894212372] |
[a1,a2,a3,a4,a6] |
Generators |
[-11372:1288770:1] |
Generators of the group modulo torsion |
j |
185161820122322438150224729/7722265410385083629568 |
j-invariant |
L |
12.086503131693 |
L(r)(E,1)/r! |
Ω |
0.065230286476957 |
Real period |
R |
1.5440812036132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566f1 |
Quadratic twists by: -4 |