Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822t |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-1788696 = -1 · 23 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22,-85] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] |
Generators of the group modulo torsion |
j |
-24100657/36504 |
j-invariant |
L |
3.8552133825482 |
L(r)(E,1)/r! |
Ω |
1.0457415000653 |
Real period |
R |
0.61443058702168 |
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 |
30576cs1 122304el1 11466r1 95550em1 |
Quadratic twists by: -4 8 -3 5 |