Atkin-Lehner |
2+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200b |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
197760 |
Modular degree for the optimal curve |
Δ |
-635468750000 = -1 · 24 · 510 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1250,-34375] |
[a1,a2,a3,a4,a6] |
Generators |
[5592:81487:27] |
Generators of the group modulo torsion |
j |
1382400/4067 |
j-invariant |
L |
11.801283654309 |
L(r)(E,1)/r! |
Ω |
0.46757569013909 |
Real period |
R |
6.309825288694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200bd1 |
Quadratic twists by: 5 |