Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665y |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-597324375 = -1 · 37 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -4 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,171,760] |
[a1,a2,a3,a4,a6] |
j |
756058031/819375 |
j-invariant |
L |
2.1628928694558 |
L(r)(E,1)/r! |
Ω |
1.0814464347279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6555c1 98325bw1 |
Quadratic twists by: -3 5 |