Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12640c |
Isogeny class |
Conductor |
12640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-1617920 = -1 · 212 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 3 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,59] |
[a1,a2,a3,a4,a6] |
j |
175616/395 |
j-invariant |
L |
3.7086582522052 |
L(r)(E,1)/r! |
Ω |
1.8543291261026 |
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 |
12640b1 25280z1 113760bp1 63200p1 |
Quadratic twists by: -4 8 -3 5 |