Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445z |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
12746695611125 = 53 · 710 · 192 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- -5 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5896,31352] |
[a1,a2,a3,a4,a6] |
Generators |
[75:73:1] |
Generators of the group modulo torsion |
j |
533794816/300125 |
j-invariant |
L |
3.3029437557491 |
L(r)(E,1)/r! |
Ω |
0.61309668889019 |
Real period |
R |
2.6936564921213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635j1 88445l1 |
Quadratic twists by: -7 -19 |