Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240c |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-8994343680000000 = -1 · 214 · 310 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30779,-4072355] |
[a1,a2,a3,a4,a6] |
Generators |
[3579812:67047831:12167] |
Generators of the group modulo torsion |
j |
196812727307264/548971171875 |
j-invariant |
L |
4.0391340595539 |
L(r)(E,1)/r! |
Ω |
0.21128937998694 |
Real period |
R |
9.5582988495312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240iv1 14280u1 |
Quadratic twists by: -4 8 |