Atkin-Lehner |
3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235bk |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
1347808259147625 = 37 · 53 · 118 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-191687,32302086] |
[a1,a2,a3,a4,a6] |
Generators |
[-459:5069:1] [146:2649:1] |
Generators of the group modulo torsion |
j |
603136942849/1043625 |
j-invariant |
L |
7.6810518271775 |
L(r)(E,1)/r! |
Ω |
0.48178569416439 |
Real period |
R |
2.6571467774073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41745i1 11385m1 |
Quadratic twists by: -3 -11 |