Atkin-Lehner |
2- 3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cg |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
-39342777051816 = -1 · 23 · 313 · 73 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7573,164121] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:79:1] [256:-4475:1] |
Generators of the group modulo torsion |
j |
140032834038089/114701973912 |
j-invariant |
L |
16.785652311708 |
L(r)(E,1)/r! |
Ω |
0.41772048033597 |
Real period |
R |
0.25758932201759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954bs1 |
Quadratic twists by: -7 |