Atkin-Lehner |
2- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998u |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-3.0008298780008E+21 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -5 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1377587,2707960289] |
[a1,a2,a3,a4,a6] |
Generators |
[13514:1559185:1] |
Generators of the group modulo torsion |
j |
-2457494752156086817/25506633103560704 |
j-invariant |
L |
7.5000059162955 |
L(r)(E,1)/r! |
Ω |
0.12143486009803 |
Real period |
R |
0.18381415485844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1102d1 |
Quadratic twists by: -7 |