Atkin-Lehner |
3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829m |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.8351135773687E+22 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19842502,-33043715083] |
[a1,a2,a3,a4,a6] |
Generators |
[-2467:31148:1] |
Generators of the group modulo torsion |
j |
7343866469456768711377/240980677895158047 |
j-invariant |
L |
5.7246247515048 |
L(r)(E,1)/r! |
Ω |
0.071676012369892 |
Real period |
R |
0.62396929447601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547a4 |
Quadratic twists by: -7 |