Atkin-Lehner |
3- 7+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471h |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-4197586207059 = -1 · 315 · 7 · 232 · 79 |
Discriminant |
Eigenvalues |
2 3- 3 7+ -6 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2949,76923] |
[a1,a2,a3,a4,a6] |
j |
3890635108352/5758005771 |
j-invariant |
L |
2.1150420626209 |
L(r)(E,1)/r! |
Ω |
0.52876086771293 |
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 |
38157h1 |
Quadratic twists by: -3 |