Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714c |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2587993811290368 = 28 · 36 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82926,8880340] |
[a1,a2,a3,a4,a6] |
j |
17923019113/735488 |
j-invariant |
L |
1.8080962589209 |
L(r)(E,1)/r! |
Ω |
0.45202406455354 |
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 |
5746j1 3978h1 |
Quadratic twists by: -3 13 |