Atkin-Lehner |
2- 3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bo |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
21461614200000 = 26 · 36 · 55 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-328448,-72369053] |
[a1,a2,a3,a4,a6] |
j |
5375202242262578361/29439800000 |
j-invariant |
L |
2.3931195301888 |
L(r)(E,1)/r! |
Ω |
0.19942662764046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710f1 |
Quadratic twists by: -3 |