Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12654l |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
65856 |
Modular degree for the optimal curve |
Δ |
-51790345460352 = -1 · 27 · 313 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-160574,24808781] |
[a1,a2,a3,a4,a6] |
Generators |
[213:379:1] |
Generators of the group modulo torsion |
j |
-628086308429730457/71042997888 |
j-invariant |
L |
8.0061205413583 |
L(r)(E,1)/r! |
Ω |
0.60713047842762 |
Real period |
R |
0.47095786925013 |
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 |
101232bi1 4218c1 |
Quadratic twists by: -4 -3 |