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 |
-8400000000 = -1 · 210 · 3 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,240,4092] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:60:1] |
Generators of the group modulo torsion |
j |
1486779836/8203125 |
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 |
1680j4 6720q4 2520e4 4200o4 |
Quadratic twists by: -4 8 -3 5 |