Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800u |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
84800 = 26 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 1 -6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53,167] |
[a1,a2,a3,a4,a6] |
j |
10485760/53 |
j-invariant |
L |
3.4289250885568 |
L(r)(E,1)/r! |
Ω |
3.4289251090055 |
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 |
84800cf1 1325a1 84800bg1 |
Quadratic twists by: -4 8 5 |