Atkin-Lehner |
5+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88825m |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-223521173046875 = -1 · 58 · 116 · 17 · 19 |
Discriminant |
Eigenvalues |
-2 -1 5+ 4 11- -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27758,1929168] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1512:1] |
Generators of the group modulo torsion |
j |
-151385348878336/14305355075 |
j-invariant |
L |
2.5708302454737 |
L(r)(E,1)/r! |
Ω |
0.54649072576731 |
Real period |
R |
0.3920210242121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17765h1 |
Quadratic twists by: 5 |