Atkin-Lehner |
3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
114873c |
Isogeny class |
Conductor |
114873 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
12527618491377 = 33 · 11 · 596 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22699,1295792] |
[a1,a2,a3,a4,a6] |
j |
30664297/297 |
j-invariant |
L |
0.3573210948983 |
L(r)(E,1)/r! |
Ω |
0.71464165570025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33a2 |
Quadratic twists by: -59 |