Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200u |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11628100000000 = 28 · 58 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6175,89250] |
[a1,a2,a3,a4,a6] |
Generators |
[95:600:1] |
Generators of the group modulo torsion |
j |
6509904336/2907025 |
j-invariant |
L |
6.3630688113888 |
L(r)(E,1)/r! |
Ω |
0.64309021583728 |
Real period |
R |
2.4736299256413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13640d2 |
Quadratic twists by: 5 |