Atkin-Lehner |
2+ 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210k |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-97680 = -1 · 24 · 3 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
46268279/97680 |
j-invariant |
L |
3.2051250698255 |
L(r)(E,1)/r! |
Ω |
2.3353731534256 |
Real period |
R |
0.6862126219795 |
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 |
97680cv1 36630bd1 61050cp1 |
Quadratic twists by: -4 -3 5 |