Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bk |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
118866511396864 = 220 · 7 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11+ 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19937,-941471] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:368:1] |
Generators of the group modulo torsion |
j |
3343374301177/453439756 |
j-invariant |
L |
4.5952520997125 |
L(r)(E,1)/r! |
Ω |
0.40538398623183 |
Real period |
R |
1.88925903819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999869771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344db1 3542i1 |
Quadratic twists by: -4 8 |