Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200gd |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3572100000000000 = -1 · 211 · 36 · 511 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54075,5629750] |
[a1,a2,a3,a4,a6] |
j |
-15298178/3125 |
j-invariant |
L |
3.4032867113636 |
L(r)(E,1)/r! |
Ω |
0.42541082915522 |
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 |
9800j1 17640p1 88200fm1 |
Quadratic twists by: -3 5 -7 |