Atkin-Lehner |
5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28675a |
Isogeny class |
Conductor |
28675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
297104083251953125 = 514 · 312 · 373 |
Discriminant |
Eigenvalues |
0 1 5+ -3 5 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-194283,-20032031] |
[a1,a2,a3,a4,a6] |
j |
51905134932557824/19014661328125 |
j-invariant |
L |
2.8126261347512 |
L(r)(E,1)/r! |
Ω |
0.2343855112292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5735a1 |
Quadratic twists by: 5 |