Atkin-Lehner |
5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19355g |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
9962296728125 = 55 · 79 · 79 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -5 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58081,-5366194] |
[a1,a2,a3,a4,a6] |
Generators |
[161082:22855115:8] |
Generators of the group modulo torsion |
j |
536971313152/246875 |
j-invariant |
L |
5.1571636343993 |
L(r)(E,1)/r! |
Ω |
0.30754055508616 |
Real period |
R |
8.3845261203914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96775k1 19355k1 |
Quadratic twists by: 5 -7 |