Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
840f |
Isogeny class |
Conductor |
840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4978713600 = 210 · 34 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680,-5700] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:30:1] |
Generators of the group modulo torsion |
j |
34008619684/4862025 |
j-invariant |
L |
2.0729414081239 |
L(r)(E,1)/r! |
Ω |
0.943705421898 |
Real period |
R |
2.1965979637531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1680j3 6720q3 2520e3 4200o3 |
Quadratic twists by: -4 8 -3 5 |