Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168p |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-9071755264 = -1 · 219 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,517,-726] |
[a1,a2,a3,a4,a6] |
Generators |
[77:704:1] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
4.2012725490515 |
L(r)(E,1)/r! |
Ω |
0.75996778456643 |
Real period |
R |
0.69102806631606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146j1 100672ca1 25168n1 |
Quadratic twists by: -4 8 -11 |