Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680di |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-356534018996601600 = -1 · 28 · 316 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-532940,152302800] |
[a1,a2,a3,a4,a6] |
Generators |
[370:-2430:1] |
Generators of the group modulo torsion |
j |
-555816294307024/11837848275 |
j-invariant |
L |
8.9204459927208 |
L(r)(E,1)/r! |
Ω |
0.30256588762213 |
Real period |
R |
0.46066650054312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bu2 1320e2 |
Quadratic twists by: -4 -7 |