Atkin-Lehner |
2- 3+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119196a |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-656462091512304 = -1 · 24 · 39 · 7 · 115 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ 3 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11799,-1129707] |
[a1,a2,a3,a4,a6] |
j |
576830267136/2084483093 |
j-invariant |
L |
4.1629563869576 |
L(r)(E,1)/r! |
Ω |
0.26018481543307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119196b1 |
Quadratic twists by: -3 |