Atkin-Lehner |
2+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942h |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-36848523392 = -1 · 27 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3 2 2 -4 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,479,8189] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:407:27] |
Generators of the group modulo torsion |
j |
5495717943/16681088 |
j-invariant |
L |
11.187662192834 |
L(r)(E,1)/r! |
Ω |
0.81515314940946 |
Real period |
R |
3.4311534593082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83942d1 |
Quadratic twists by: -47 |