Atkin-Lehner |
2- 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bs |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
108028734156 = 22 · 36 · 72 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21956,-1246597] |
[a1,a2,a3,a4,a6] |
Generators |
[-10695:6419:125] |
Generators of the group modulo torsion |
j |
1605599802471673/148187564 |
j-invariant |
L |
14.617166283304 |
L(r)(E,1)/r! |
Ω |
0.39220687269811 |
Real period |
R |
4.6586276588659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586d1 |
Quadratic twists by: -3 |