Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600bo |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-847000000 = -1 · 26 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125,-1500] |
[a1,a2,a3,a4,a6] |
j |
-216000/847 |
j-invariant |
L |
1.3041059790983 |
L(r)(E,1)/r! |
Ω |
0.65205299031409 |
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 |
61600b1 123200bi1 2464c1 |
Quadratic twists by: -4 8 5 |