Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005i |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
2616603057861328125 = 35 · 515 · 233 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2379061,-1411043480] |
[a1,a2,a3,a4,a6] |
Generators |
[-6902:1931:8] |
Generators of the group modulo torsion |
j |
1489157481162281146384384/2616603057861328125 |
j-invariant |
L |
3.6634099424648 |
L(r)(E,1)/r! |
Ω |
0.12157491709157 |
Real period |
R |
6.0265884281141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30015l2 50025e2 |
Quadratic twists by: -3 5 |