Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2925f |
Isogeny class |
Conductor |
2925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-444234375 = -1 · 37 · 56 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,108,891] |
[a1,a2,a3,a4,a6] |
j |
12167/39 |
j-invariant |
L |
2.3615785860683 |
L(r)(E,1)/r! |
Ω |
1.1807892930342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800dm1 975g1 117a1 38025bm1 |
Quadratic twists by: -4 -3 5 13 |