Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32175u |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
11198408203125 = 36 · 510 · 112 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5625,-21094] |
[a1,a2,a3,a4,a6] |
j |
2764800/1573 |
j-invariant |
L |
1.1916296000914 |
L(r)(E,1)/r! |
Ω |
0.59581480004332 |
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 |
3575e1 32175x1 |
Quadratic twists by: -3 5 |