Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445be |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
52027329025 = 52 · 78 · 192 |
Discriminant |
Eigenvalues |
-1 3 5- 7+ 5 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12627,-542846] |
[a1,a2,a3,a4,a6] |
Generators |
[-3873129:2193437:59319] |
Generators of the group modulo torsion |
j |
106979481/25 |
j-invariant |
L |
9.1598476734991 |
L(r)(E,1)/r! |
Ω |
0.45038434558843 |
Real period |
R |
10.168923243823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445s1 88445bb1 |
Quadratic twists by: -7 -19 |