Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87725j |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2967552 |
Modular degree for the optimal curve |
Δ |
2591485595703125 = 514 · 114 · 29 |
Discriminant |
Eigenvalues |
-2 2 5+ -1 11- 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12101008,16206474668] |
[a1,a2,a3,a4,a6] |
j |
856638571954671616/11328125 |
j-invariant |
L |
1.2908167465383 |
L(r)(E,1)/r! |
Ω |
0.32270416753439 |
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 |
17545l1 87725r1 |
Quadratic twists by: 5 -11 |