Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248m |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
36831117312 = 214 · 35 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3409,-74927] |
[a1,a2,a3,a4,a6] |
Generators |
[491:10788:1] |
Generators of the group modulo torsion |
j |
267492843088/2247993 |
j-invariant |
L |
4.8574767332874 |
L(r)(E,1)/r! |
Ω |
0.62510410354975 |
Real period |
R |
3.8853342230091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248cd1 7656g1 |
Quadratic twists by: -4 8 |