Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445q |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3680709067756385 = -1 · 5 · 77 · 197 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 0 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44591,4634958] |
[a1,a2,a3,a4,a6] |
Generators |
[454:8617:1] |
Generators of the group modulo torsion |
j |
-1771561/665 |
j-invariant |
L |
2.2227081897966 |
L(r)(E,1)/r! |
Ω |
0.41663966002047 |
Real period |
R |
1.3337113616476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635f1 4655j1 |
Quadratic twists by: -7 -19 |