Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6216t |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
6798473872848 = 24 · 314 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28883,1875582] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:1701:1] |
Generators of the group modulo torsion |
j |
166550394784000000/424904617053 |
j-invariant |
L |
4.7798021580648 |
L(r)(E,1)/r! |
Ω |
0.75065533668701 |
Real period |
R |
0.22741091895023 |
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 |
12432c1 49728n1 18648n1 43512y1 |
Quadratic twists by: -4 8 -3 -7 |