Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800bl |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3723264 |
Modular degree for the optimal curve |
Δ |
-1301025390625000000 = -1 · 26 · 518 · 732 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9505175,-11279593000] |
[a1,a2,a3,a4,a6] |
j |
-94973854331628995904/1301025390625 |
j-invariant |
L |
0.77384135439013 |
L(r)(E,1)/r! |
Ω |
0.042991160916026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116800bo1 58400i2 23360bb1 |
Quadratic twists by: -4 8 5 |