Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032y |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
11481993216 = 212 · 33 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 3 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3509,81021] |
[a1,a2,a3,a4,a6] |
Generators |
[410:1457:8] |
Generators of the group modulo torsion |
j |
11239424/27 |
j-invariant |
L |
7.9388941437786 |
L(r)(E,1)/r! |
Ω |
1.2773804082999 |
Real period |
R |
3.1074901682002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6627e1 106032bb1 |
Quadratic twists by: -4 -47 |