Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bn |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-193721529881915 = -1 · 5 · 77 · 196 |
Discriminant |
Eigenvalues |
0 1 5- 7- -3 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23585,1538779] |
[a1,a2,a3,a4,a6] |
Generators |
[443:-8845:1] [23:1004:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
11.510575189007 |
L(r)(E,1)/r! |
Ω |
0.54855120882999 |
Real period |
R |
2.6229490984079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635a1 245c1 |
Quadratic twists by: -7 -19 |