Atkin-Lehner |
2- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6622h |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-102636126208 = -1 · 216 · 7 · 112 · 432 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-669,-16847] |
[a1,a2,a3,a4,a6] |
Generators |
[42:151:1] |
Generators of the group modulo torsion |
j |
-33116363266897/102636126208 |
j-invariant |
L |
3.7413497052846 |
L(r)(E,1)/r! |
Ω |
0.43325484730248 |
Real period |
R |
0.53971550009465 |
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 |
52976v1 59598j1 46354z1 72842h1 |
Quadratic twists by: -4 -3 -7 -11 |