Atkin-Lehner |
3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005n |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
69995230125 = 3 · 53 · 235 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 1 0 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1305,12506] |
[a1,a2,a3,a4,a6] |
j |
245973316796416/69995230125 |
j-invariant |
L |
3.0603213894583 |
L(r)(E,1)/r! |
Ω |
1.0201071298194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30015c1 50025f1 |
Quadratic twists by: -3 5 |