Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fr |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-727011288000000000 = -1 · 212 · 314 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,80925,-40054750] |
[a1,a2,a3,a4,a6] |
j |
1256216039/15582375 |
j-invariant |
L |
4.4805387693177 |
L(r)(E,1)/r! |
Ω |
0.1400168371407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4275g1 22800ch1 13680bg1 |
Quadratic twists by: -4 -3 5 |