Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445y |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2201472 |
Modular degree for the optimal curve |
Δ |
-237308874105345875 = -1 · 53 · 79 · 196 |
Discriminant |
Eigenvalues |
2 -3 5+ 7- 1 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-123823,28819803] |
[a1,a2,a3,a4,a6] |
Generators |
[2242:32125:8] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
5.1693479745846 |
L(r)(E,1)/r! |
Ω |
0.2839292854527 |
Real period |
R |
4.5516157020404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445bu1 245b1 |
Quadratic twists by: -7 -19 |