Atkin-Lehner |
2+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79430b |
Isogeny class |
Conductor |
79430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-4211576925986950 = -1 · 2 · 52 · 1311 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -4 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18593,-3279037] |
[a1,a2,a3,a4,a6] |
j |
-147281603041/872538550 |
j-invariant |
L |
1.4638849361242 |
L(r)(E,1)/r! |
Ω |
0.18298561743522 |
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 |
6110d1 |
Quadratic twists by: 13 |