Atkin-Lehner |
3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259h |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1081920 |
Modular degree for the optimal curve |
Δ |
-4011475985534259 = -1 · 36 · 11 · 298 |
Discriminant |
Eigenvalues |
2 3- -1 4 11+ 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-280053,57125135] |
[a1,a2,a3,a4,a6] |
j |
-5601816576/9251 |
j-invariant |
L |
7.9155935630791 |
L(r)(E,1)/r! |
Ω |
0.43975519942213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9251d1 2871d1 |
Quadratic twists by: -3 29 |