Atkin-Lehner |
3- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725m |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-552626138671875 = -1 · 36 · 59 · 173 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 4 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7749,1100773] |
[a1,a2,a3,a4,a6] |
j |
3293982073439/35368072875 |
j-invariant |
L |
4.583679962801 |
L(r)(E,1)/r! |
Ω |
0.38197334539421 |
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 |
20145e1 |
Quadratic twists by: 5 |