Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1974b |
Isogeny class |
Conductor |
1974 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5010012 = 22 · 34 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141,-644] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:6:1] |
Generators of the group modulo torsion |
j |
306863943625/5010012 |
j-invariant |
L |
2.6947111239919 |
L(r)(E,1)/r! |
Ω |
1.3880153600626 |
Real period |
R |
0.48535326076478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792p2 63168q2 5922p2 49350bl2 |
Quadratic twists by: -4 8 -3 5 |