Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880u |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
4209804014391360 = 26 · 320 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43473,-1557848] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:180:1] [-133:1368:1] |
Generators of the group modulo torsion |
j |
194748913457344/90230710185 |
j-invariant |
L |
10.983463482105 |
L(r)(E,1)/r! |
Ω |
0.3456715370886 |
Real period |
R |
15.887138949695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880bi1 36960br1 |
Quadratic twists by: -4 -3 |