Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050co |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-14272024694616000 = -1 · 26 · 37 · 53 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,60048,965056] |
[a1,a2,a3,a4,a6] |
Generators |
[1944:85408:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
5.5979573665894 |
L(r)(E,1)/r! |
Ω |
0.24174774213381 |
Real period |
R |
5.7890482403631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350cg1 76050fx1 5850cb1 |
Quadratic twists by: -3 5 13 |