Atkin-Lehner |
5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445d |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-128824817371473475 = -1 · 52 · 78 · 197 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ -3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4870371,-4135466924] |
[a1,a2,a3,a4,a6] |
j |
-47109013504/475 |
j-invariant |
L |
2.4390461396413 |
L(r)(E,1)/r! |
Ω |
0.050813461130397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445bq1 4655c1 |
Quadratic twists by: -7 -19 |