Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850bg |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
613440 |
Modular degree for the optimal curve |
Δ |
-486451844531250 = -1 · 2 · 3 · 58 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5049,1052548] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:27497:27] |
Generators of the group modulo torsion |
j |
36450495095/1245316722 |
j-invariant |
L |
3.0574211371186 |
L(r)(E,1)/r! |
Ω |
0.39581978862524 |
Real period |
R |
1.2873792697293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850cb1 |
Quadratic twists by: 5 |