Atkin-Lehner |
2- 7- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
62216c |
Isogeny class |
Conductor |
62216 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
3155328 |
Modular degree for the optimal curve |
Δ |
-6.3105599538534E+19 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 11+ -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,411209,-368478854] |
[a1,a2,a3,a4,a6] |
Generators |
[535:2156:1] [689:15554:1] |
Generators of the group modulo torsion |
j |
30038039280634606128/246506248197396803 |
j-invariant |
L |
5.7332098966538 |
L(r)(E,1)/r! |
Ω |
0.097505191212228 |
Real period |
R |
0.2227235687037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124432a1 |
Quadratic twists by: -4 |