Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022g |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-8632624 = -1 · 24 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11- 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-156,-832] |
[a1,a2,a3,a4,a6] |
Generators |
[32:152:1] |
Generators of the group modulo torsion |
j |
-3504731857/71344 |
j-invariant |
L |
6.835184624422 |
L(r)(E,1)/r! |
Ω |
0.67406656282602 |
Real period |
R |
1.6900370085524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22022p1 |
Quadratic twists by: -11 |