Atkin-Lehner |
2- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
116200z |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1027200 |
Modular degree for the optimal curve |
Δ |
-146534035418750000 = -1 · 24 · 58 · 710 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,130417,3208912] |
[a1,a2,a3,a4,a6] |
j |
39250300160000/23445445667 |
j-invariant |
L |
2.3912019831074 |
L(r)(E,1)/r! |
Ω |
0.19926681204396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200e1 |
Quadratic twists by: 5 |