Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368h |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2393268664752 = -1 · 24 · 33 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,882,73745] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1715:1] |
Generators of the group modulo torsion |
j |
1492992/47089 |
j-invariant |
L |
9.2433159962537 |
L(r)(E,1)/r! |
Ω |
0.61549082966813 |
Real period |
R |
1.877224553496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109368bk1 15624a1 |
Quadratic twists by: -3 -7 |