Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25232n |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
116928 |
Modular degree for the optimal curve |
Δ |
-1576417896952576 = -1 · 28 · 197 · 832 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 -1 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22643,-1381449] |
[a1,a2,a3,a4,a6] |
Generators |
[191:-3154:1] |
Generators of the group modulo torsion |
j |
5014948370604032/6157882409971 |
j-invariant |
L |
1.7633710206284 |
L(r)(E,1)/r! |
Ω |
0.25480720306136 |
Real period |
R |
0.2471575987428 |
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 |
6308c1 100928x1 |
Quadratic twists by: -4 8 |