Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28880d |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
-21738960692480000 = -1 · 211 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -5 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317800,-69427052] |
[a1,a2,a3,a4,a6] |
j |
-102053522/625 |
j-invariant |
L |
2.4120330004214 |
L(r)(E,1)/r! |
Ω |
0.10050137501757 |
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 |
14440c1 115520bn1 28880i1 |
Quadratic twists by: -4 8 -19 |