Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928bq |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
113909317632 = 214 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28515,1853282] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-272:1] |
Generators of the group modulo torsion |
j |
858729462625/38148 |
j-invariant |
L |
5.6156378717053 |
L(r)(E,1)/r! |
Ω |
0.98990964757825 |
Real period |
R |
0.70910990278805 |
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 |
3366d1 107712dt1 8976l1 |
Quadratic twists by: -4 8 -3 |