Atkin-Lehner |
2- 3- 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26598k |
Isogeny class |
Conductor |
26598 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
Δ |
-1049416749898463232 = -1 · 211 · 314 · 112 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,253902,2095236] |
[a1,a2,a3,a4,a6] |
Generators |
[372:-12354:1] |
Generators of the group modulo torsion |
j |
1810180869212311697375/1049416749898463232 |
j-invariant |
L |
10.164428779852 |
L(r)(E,1)/r! |
Ω |
0.16608951861251 |
Real period |
R |
0.39739283270934 |
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 |
79794e2 |
Quadratic twists by: -3 |