Atkin-Lehner |
3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22425f |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-8759765625 = -1 · 3 · 510 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 3 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7825,-269750] |
[a1,a2,a3,a4,a6] |
j |
-5427045025/897 |
j-invariant |
L |
2.2841753949167 |
L(r)(E,1)/r! |
Ω |
0.25379726610186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67275t1 22425t1 |
Quadratic twists by: -3 5 |