Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190ch |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
1276 |
Product of Tamagawa factors cp |
deg |
21436800 |
Modular degree for the optimal curve |
Δ |
-1.9922935323034E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,63220380,93213219045] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:302513:1] |
Generators of the group modulo torsion |
j |
15773893582068027616679/11245977600000000000 |
j-invariant |
L |
6.8977311322117 |
L(r)(E,1)/r! |
Ω |
0.043434595831034 |
Real period |
R |
0.12445713602202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4290h1 |
Quadratic twists by: -11 |