Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
840f |
Isogeny class |
Conductor |
840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
70560000 = 28 · 32 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180,900] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:40:1] |
Generators of the group modulo torsion |
j |
2533446736/275625 |
j-invariant |
L |
2.0729414081239 |
L(r)(E,1)/r! |
Ω |
1.887410843796 |
Real period |
R |
1.0982989818765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1680j2 6720q2 2520e2 4200o2 |
Quadratic twists by: -4 8 -3 5 |