Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800r |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-9964870300000000 = -1 · 28 · 58 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,53492,643488] |
[a1,a2,a3,a4,a6] |
Generators |
[87:2442:1] |
Generators of the group modulo torsion |
j |
35969456/21175 |
j-invariant |
L |
4.4104186861331 |
L(r)(E,1)/r! |
Ω |
0.2477395959838 |
Real period |
R |
4.4506598618726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560u1 15400e1 |
Quadratic twists by: 5 -7 |