Atkin-Lehner |
2+ 3- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882u |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1984330429850513808 = 24 · 39 · 7 · 198 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7717491,-8249851355] |
[a1,a2,a3,a4,a6] |
Generators |
[-1597:1055:1] [70223:18558830:1] |
Generators of the group modulo torsion |
j |
69730794021743167216177/2721989615707152 |
j-invariant |
L |
10.660037029926 |
L(r)(E,1)/r! |
Ω |
0.0905798373119 |
Real period |
R |
7.3554152239773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294t4 |
Quadratic twists by: -3 |