Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168n |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-16071167827247104 = -1 · 219 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62557,966306] |
[a1,a2,a3,a4,a6] |
j |
2803221/1664 |
j-invariant |
L |
0.95589824179819 |
L(r)(E,1)/r! |
Ω |
0.23897456044951 |
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 |
3146a1 100672ce1 25168p1 |
Quadratic twists by: -4 8 -11 |