Atkin-Lehner |
5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4715b |
Isogeny class |
Conductor |
4715 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
338890625 = 56 · 232 · 41 |
Discriminant |
Eigenvalues |
1 0 5- 2 0 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-959,-11160] |
[a1,a2,a3,a4,a6] |
j |
97596500046921/338890625 |
j-invariant |
L |
2.5741604477752 |
L(r)(E,1)/r! |
Ω |
0.85805348259173 |
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 |
75440v1 42435c1 23575a1 108445b1 |
Quadratic twists by: -4 -3 5 -23 |