Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928k |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
443771716608 = 210 · 36 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1783395,-916683534] |
[a1,a2,a3,a4,a6] |
Generators |
[2145:71604:1] |
Generators of the group modulo torsion |
j |
840308702533978500/594473 |
j-invariant |
L |
6.1938034490473 |
L(r)(E,1)/r! |
Ω |
0.13064345839271 |
Real period |
R |
3.9508314749988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13464r1 107712ew1 2992b1 |
Quadratic twists by: -4 8 -3 |