Atkin-Lehner |
2- 3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52440n |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-237595991040 = -1 · 210 · 35 · 5 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-760,-24548] |
[a1,a2,a3,a4,a6] |
Generators |
[513:11590:1] |
Generators of the group modulo torsion |
j |
-47471816164/232027335 |
j-invariant |
L |
3.949351652532 |
L(r)(E,1)/r! |
Ω |
0.4108589210841 |
Real period |
R |
4.8062138241211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880v1 |
Quadratic twists by: -4 |