Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445s |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
442225 = 52 · 72 · 192 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7- 5 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-258,1656] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-3:1] |
Generators of the group modulo torsion |
j |
106979481/25 |
j-invariant |
L |
2.3584354618063 |
L(r)(E,1)/r! |
Ω |
2.8957816917538 |
Real period |
R |
0.40721914175004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999634646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445be1 88445j1 |
Quadratic twists by: -7 -19 |