Atkin-Lehner |
2+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
29050b |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-181562500 = -1 · 22 · 57 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 4 -4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,648] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:16:1] [-3:26:1] |
Generators of the group modulo torsion |
j |
-1/11620 |
j-invariant |
L |
4.4229334975564 |
L(r)(E,1)/r! |
Ω |
1.4308910378509 |
Real period |
R |
0.3863793067184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810d1 |
Quadratic twists by: 5 |