Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200ch |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-134000000000 = -1 · 210 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,-19000] |
[a1,a2,a3,a4,a6] |
j |
-2370816/8375 |
j-invariant |
L |
6.814457402021 |
L(r)(E,1)/r! |
Ω |
0.42590357131704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200y1 26800j1 21440x1 |
Quadratic twists by: -4 8 5 |