Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10005m |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2140320 |
Modular degree for the optimal curve |
Δ |
6.4514985611316E+25 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 -4 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-104207741,135268278965] |
[a1,a2,a3,a4,a6] |
Generators |
[-7253:713854:1] |
Generators of the group modulo torsion |
j |
125147927114815865709295304704/64514985611316331088611125 |
j-invariant |
L |
3.2969406914213 |
L(r)(E,1)/r! |
Ω |
0.054677784007989 |
Real period |
R |
8.6139468870406 |
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 |
30015k1 50025c1 |
Quadratic twists by: -3 5 |