Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56628w |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
5493119527600848 = 24 · 36 · 118 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79860,7920781] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1534:1] |
Generators of the group modulo torsion |
j |
22528000/2197 |
j-invariant |
L |
4.6464729930103 |
L(r)(E,1)/r! |
Ω |
0.41653084318297 |
Real period |
R |
3.7183905018035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6292h1 56628l1 |
Quadratic twists by: -3 -11 |