Atkin-Lehner |
2- 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520p |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-3405888000000000 = -1 · 215 · 36 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28840,3391600] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:2160:1] [-5991060:30056080:29791] |
Generators of the group modulo torsion |
j |
-647686121198761/831515625000 |
j-invariant |
L |
6.0505447361893 |
L(r)(E,1)/r! |
Ω |
0.4027021753226 |
Real period |
R |
0.20867864319545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190g1 70080cg1 52560z1 87600cc1 |
Quadratic twists by: -4 8 -3 5 |