Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622l |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17310720 |
Modular degree for the optimal curve |
Δ |
4.1615515900008E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-832873050,-9251380194008] |
[a1,a2,a3,a4,a6] |
Generators |
[-6480905398:3452389802:389017] |
Generators of the group modulo torsion |
j |
15203665023316217484001/990246769884 |
j-invariant |
L |
3.670262447362 |
L(r)(E,1)/r! |
Ω |
0.028103140458584 |
Real period |
R |
10.883310511065 |
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 |
20874t1 62622x1 |
Quadratic twists by: -3 -7 |