Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248l |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
3054920194326528 = 224 · 39 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293633,61283073] |
[a1,a2,a3,a4,a6] |
Generators |
[271:1240:1] |
Generators of the group modulo torsion |
j |
10680703423890625/11653595712 |
j-invariant |
L |
4.0313730129225 |
L(r)(E,1)/r! |
Ω |
0.44811445284154 |
Real period |
R |
4.4981510716896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248cb1 1914m1 |
Quadratic twists by: -4 8 |