Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216k |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-22079232 = -1 · 28 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,224] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
-9826000/86247 |
j-invariant |
L |
4.6970829353074 |
L(r)(E,1)/r! |
Ω |
1.8354386953848 |
Real period |
R |
1.2795532063038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432a1 49728t1 18648bd1 43512b1 |
Quadratic twists by: -4 8 -3 -7 |