Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bg |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
29016064 = 214 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 11+ -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,-464] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:4:1] [-6:8:1] |
Generators of the group modulo torsion |
j |
12869712/1771 |
j-invariant |
L |
6.0793382400995 |
L(r)(E,1)/r! |
Ω |
1.4437462000959 |
Real period |
R |
1.0527020314956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000014605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dq1 7084k1 |
Quadratic twists by: -4 8 |