Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15345h |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-333257170455 = -1 · 38 · 5 · 11 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2790,-62465] |
[a1,a2,a3,a4,a6] |
j |
-3295310559841/457142895 |
j-invariant |
L |
2.6074589333938 |
L(r)(E,1)/r! |
Ω |
0.32593236667423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115c1 76725y1 |
Quadratic twists by: -3 5 |