Atkin-Lehner |
2+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25688c |
Isogeny class |
Conductor |
25688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-7840203312441344 = -1 · 211 · 139 · 192 |
Discriminant |
Eigenvalues |
2+ 1 -1 -1 -2 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27096,-4602064] |
[a1,a2,a3,a4,a6] |
Generators |
[1915:83486:1] [1754:1691:8] |
Generators of the group modulo torsion |
j |
-101306/361 |
j-invariant |
L |
8.3663896294493 |
L(r)(E,1)/r! |
Ω |
0.17068177639952 |
Real period |
R |
12.254368635505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51376j1 25688j1 |
Quadratic twists by: -4 13 |