Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870r |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9804829694035600 = 24 · 52 · 72 · 298 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53982,793181] |
[a1,a2,a3,a4,a6] |
Generators |
[-1898:4557:8] |
Generators of the group modulo torsion |
j |
29246580441/16483600 |
j-invariant |
L |
8.8009301531087 |
L(r)(E,1)/r! |
Ω |
0.35207199508742 |
Real period |
R |
6.2493824245092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2030a2 |
Quadratic twists by: 29 |