Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200ba |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
-18483200 = -1 · 211 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -1 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,3990] |
[a1,a2,a3,a4,a6] |
Generators |
[26:96:1] |
Generators of the group modulo torsion |
j |
-641250 |
j-invariant |
L |
6.7329084286749 |
L(r)(E,1)/r! |
Ω |
2.1762706037543 |
Real period |
R |
3.093782738676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72200q1 72200a1 |
Quadratic twists by: 5 -19 |