Atkin-Lehner |
5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24725c |
Isogeny class |
Conductor |
24725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3193243408203125 = -1 · 514 · 233 · 43 |
Discriminant |
Eigenvalues |
-1 1 5+ 2 1 -5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,34062,1242617] |
[a1,a2,a3,a4,a6] |
j |
279713432716199/204367578125 |
j-invariant |
L |
1.1420056501602 |
L(r)(E,1)/r! |
Ω |
0.28550141254002 |
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 |
4945d1 |
Quadratic twists by: 5 |