Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825k |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-1.0784899489725E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1000417,-1532707807] |
[a1,a2,a3,a4,a6] |
Generators |
[5883674:5045776549:8] |
Generators of the group modulo torsion |
j |
40140800/390963 |
j-invariant |
L |
3.8888639726296 |
L(r)(E,1)/r! |
Ω |
0.07663001455329 |
Real period |
R |
12.687143528331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69825ce1 69825bg1 |
Quadratic twists by: 5 -7 |