Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hh |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-844260253593750000 = -1 · 24 · 38 · 510 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3399375,-2412790625] |
[a1,a2,a3,a4,a6] |
j |
-324179200/63 |
j-invariant |
L |
4.0026464824683 |
L(r)(E,1)/r! |
Ω |
0.055592310792348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bw1 88200ee1 12600cf1 |
Quadratic twists by: -3 5 -7 |