Atkin-Lehner |
2- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
100048f |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
152154611974144 = 216 · 137 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23491,1252290] |
[a1,a2,a3,a4,a6] |
j |
72511713/7696 |
j-invariant |
L |
1.1204889512246 |
L(r)(E,1)/r! |
Ω |
0.56024430772124 |
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 |
12506b1 7696d1 |
Quadratic twists by: -4 13 |