Atkin-Lehner |
2+ 7- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113582c |
Isogeny class |
Conductor |
113582 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5218560 |
Modular degree for the optimal curve |
Δ |
-2.6716790504418E+20 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 1 7 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1591690,145166368] |
[a1,a2,a3,a4,a6] |
j |
3790629408114642743/2270889723195128 |
j-invariant |
L |
3.2009873131585 |
L(r)(E,1)/r! |
Ω |
0.10669960530082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16226a1 |
Quadratic twists by: -7 |