Atkin-Lehner |
2+ 3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
49608c |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-99157116494592 = -1 · 28 · 39 · 135 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -3 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11556,30132] |
[a1,a2,a3,a4,a6] |
Generators |
[36:702:1] |
Generators of the group modulo torsion |
j |
33869988864/19678529 |
j-invariant |
L |
6.6283086320961 |
L(r)(E,1)/r! |
Ω |
0.36051800841446 |
Real period |
R |
0.45963783205053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216f1 49608k1 |
Quadratic twists by: -4 -3 |