Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445w |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-1.0494391685124E+23 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -3 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3720586,15830195821] |
[a1,a2,a3,a4,a6] |
Generators |
[3742618:2559847755:8] |
Generators of the group modulo torsion |
j |
-1029077364736/18960396875 |
j-invariant |
L |
7.1887458321721 |
L(r)(E,1)/r! |
Ω |
0.089262226834185 |
Real period |
R |
10.066892336775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635h1 4655k1 |
Quadratic twists by: -7 -19 |