Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200gq |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-6172588800 = -1 · 28 · 39 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,-1820] |
[a1,a2,a3,a4,a6] |
j |
35840/27 |
j-invariant |
L |
3.0009003699596 |
L(r)(E,1)/r! |
Ω |
0.75022508931971 |
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 |
29400bo1 88200dz1 88200fu1 |
Quadratic twists by: -3 5 -7 |