Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560dy |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
28241068322880 = 26 · 37 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13377,-537824] |
[a1,a2,a3,a4,a6] |
Generators |
[9120:156232:27] |
Generators of the group modulo torsion |
j |
140608/15 |
j-invariant |
L |
7.3278402750888 |
L(r)(E,1)/r! |
Ω |
0.44699134387622 |
Real period |
R |
8.196848076771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dw1 23520o1 70560dc1 |
Quadratic twists by: -4 -3 -7 |