Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bb |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
4926115769365 = 5 · 74 · 177 |
Discriminant |
Eigenvalues |
-2 1 5- 7+ 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4720,-66216] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:25:8] [-57:144:1] |
Generators of the group modulo torsion |
j |
200704/85 |
j-invariant |
L |
6.9464049306396 |
L(r)(E,1)/r! |
Ω |
0.59825137051746 |
Real period |
R |
2.9027952433293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805q1 4165b1 |
Quadratic twists by: -7 17 |