Atkin-Lehner |
3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39525b |
Isogeny class |
Conductor |
39525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-123515625 = -1 · 3 · 57 · 17 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 3 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,124,23] |
[a1,a2,a3,a4,a6] |
j |
13651919/7905 |
j-invariant |
L |
4.4545418717541 |
L(r)(E,1)/r! |
Ω |
1.1136354679407 |
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 |
118575l1 7905d1 |
Quadratic twists by: -3 5 |