Atkin-Lehner |
2- 3+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652b |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
15002064 = 24 · 33 · 7 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276,-1755] |
[a1,a2,a3,a4,a6] |
j |
5382291456/34727 |
j-invariant |
L |
1.1717664870196 |
L(r)(E,1)/r! |
Ω |
1.1717665638966 |
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 |
113652f1 |
Quadratic twists by: -3 |