Atkin-Lehner |
2- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101332c |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-4458608 = -1 · 24 · 72 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
6048000/5687 |
j-invariant |
L |
6.6108393597566 |
L(r)(E,1)/r! |
Ω |
1.3405470955082 |
Real period |
R |
2.4657244007008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101332a1 |
Quadratic twists by: -7 |