Atkin-Lehner |
3- 5+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
28635i |
Isogeny class |
Conductor |
28635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17760 |
Modular degree for the optimal curve |
Δ |
-1366605375 = -1 · 3 · 53 · 232 · 832 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 6 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-629,-6373] |
[a1,a2,a3,a4,a6] |
j |
-27458875316809/1366605375 |
j-invariant |
L |
4.2783302421037 |
L(r)(E,1)/r! |
Ω |
0.47537002690038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85905g1 |
Quadratic twists by: -3 |