Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850bi |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-296595000 = -1 · 23 · 33 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 6 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80,-853] |
[a1,a2,a3,a4,a6] |
j |
-3316275/17576 |
j-invariant |
L |
4.3152608875557 |
L(r)(E,1)/r! |
Ω |
0.71921014792594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46800cs1 5850g2 5850a1 76050t1 |
Quadratic twists by: -4 -3 5 13 |