Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200cq |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-14495395500000000 = -1 · 28 · 34 · 59 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 -3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11060333,-14154266463] |
[a1,a2,a3,a4,a6] |
j |
-299266672793526272/28990791 |
j-invariant |
L |
0.9934333913128 |
L(r)(E,1)/r! |
Ω |
0.041393057096797 |
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 |
21300n1 85200dw1 |
Quadratic twists by: -4 5 |