Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336d |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-13879199488 = -1 · 28 · 7 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11+ 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3708,-88340] |
[a1,a2,a3,a4,a6] |
j |
-22030281250000/54215623 |
j-invariant |
L |
0.61170331806222 |
L(r)(E,1)/r! |
Ω |
0.30585165903128 |
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 |
14168h1 113344dn1 |
Quadratic twists by: -4 8 |