Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114308i |
Isogeny class |
Conductor |
114308 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-7315712 = -1 · 28 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3 2 -1 3 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[273:998:27] |
Generators of the group modulo torsion |
j |
17712/17 |
j-invariant |
L |
15.092999617917 |
L(r)(E,1)/r! |
Ω |
1.2841184928327 |
Real period |
R |
3.9178626349376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114308e1 |
Quadratic twists by: 41 |