Atkin-Lehner |
5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445ba |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1378944 |
Modular degree for the optimal curve |
Δ |
2447671530057996025 = 52 · 78 · 198 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ 3 -7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-637172,-180980141] |
[a1,a2,a3,a4,a6] |
j |
292201/25 |
j-invariant |
L |
1.019406874076 |
L(r)(E,1)/r! |
Ω |
0.16990116596325 |
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 |
88445h1 88445bd1 |
Quadratic twists by: -7 -19 |