Atkin-Lehner |
5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10925c |
Isogeny class |
Conductor |
10925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-8578685546875 = -1 · 59 · 192 · 233 |
Discriminant |
Eigenvalues |
0 2 5+ -5 6 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,117,-140957] |
[a1,a2,a3,a4,a6] |
j |
11239424/549035875 |
j-invariant |
L |
1.3526247958439 |
L(r)(E,1)/r! |
Ω |
0.33815619896097 |
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 |
98325bu1 2185b1 |
Quadratic twists by: -3 5 |