Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822a |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19152 |
Modular degree for the optimal curve |
Δ |
-1532364905250816 = -1 · 219 · 3 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26533,894237] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:333:1] |
Generators of the group modulo torsion |
j |
358321516679/265814016 |
j-invariant |
L |
2.3297836373134 |
L(r)(E,1)/r! |
Ω |
0.30414399183814 |
Real period |
R |
1.2766889476883 |
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 |
30576cj1 122304cm1 11466bs1 95550jc1 |
Quadratic twists by: -4 8 -3 5 |