Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28090b |
Isogeny class |
Conductor |
28090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10715328 |
Modular degree for the optimal curve |
Δ |
-4.8640383133876E+24 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-224298708,-1297409695088] |
[a1,a2,a3,a4,a6] |
j |
-20044585238387689/78125000000 |
j-invariant |
L |
0.97506048875569 |
L(r)(E,1)/r! |
Ω |
0.019501209775129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28090f1 |
Quadratic twists by: 53 |