Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25688a |
Isogeny class |
Conductor |
25688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
-3811428434944 = -1 · 210 · 134 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -1 -4 0 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18083,940654] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1444:1] |
Generators of the group modulo torsion |
j |
-22359484836/130321 |
j-invariant |
L |
3.0730488779754 |
L(r)(E,1)/r! |
Ω |
0.78975597787393 |
Real period |
R |
0.97278430428858 |
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 |
51376d1 25688g1 |
Quadratic twists by: -4 13 |