Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050da |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
deg |
319872 |
Modular degree for the optimal curve |
Δ |
-220576131072000 = -1 · 214 · 37 · 53 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3607,709977] |
[a1,a2,a3,a4,a6] |
Generators |
[322:-6101:1] |
Generators of the group modulo torsion |
j |
41518781649883/1764609048576 |
j-invariant |
L |
9.5874437489633 |
L(r)(E,1)/r! |
Ω |
0.42433696608599 |
Real period |
R |
0.038425067215258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050u1 |
Quadratic twists by: 5 |