Atkin-Lehner |
2- 3+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954bp |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3451392 |
Modular degree for the optimal curve |
Δ |
580529658805323696 = 24 · 33 · 710 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -6 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-597899,173880713] |
[a1,a2,a3,a4,a6] |
j |
83680995588673/2055152304 |
j-invariant |
L |
4.6394737128674 |
L(r)(E,1)/r! |
Ω |
0.28996713443489 |
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 |
114954ce1 |
Quadratic twists by: -7 |