Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200cp |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-176670720000 = -1 · 214 · 35 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,-25488] |
[a1,a2,a3,a4,a6] |
j |
-76215625/69012 |
j-invariant |
L |
2.3413803155287 |
L(r)(E,1)/r! |
Ω |
0.39023003717883 |
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 |
10650o1 85200cz1 |
Quadratic twists by: -4 5 |