Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100h |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2206312500000000 = -1 · 28 · 3 · 512 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39908,-3797688] |
[a1,a2,a3,a4,a6] |
Generators |
[406:6838:1] |
Generators of the group modulo torsion |
j |
-1757334737104/551578125 |
j-invariant |
L |
5.3277557192419 |
L(r)(E,1)/r! |
Ω |
0.16622216491846 |
Real period |
R |
5.3420028950529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220i2 |
Quadratic twists by: 5 |