Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325q |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30104770078125 = 34 · 57 · 17 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13813,-567508] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:275:1] |
Generators of the group modulo torsion |
j |
18653901818761/1926705285 |
j-invariant |
L |
4.3980314134442 |
L(r)(E,1)/r! |
Ω |
0.44331699684094 |
Real period |
R |
1.240092147601 |
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 |
87975t4 5865b3 |
Quadratic twists by: -3 5 |