Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200dm |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1634304 |
Modular degree for the optimal curve |
Δ |
-4270049530419456000 = -1 · 211 · 310 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1044435,-422696050] |
[a1,a2,a3,a4,a6] |
j |
-2390122/81 |
j-invariant |
L |
0.29808784045944 |
L(r)(E,1)/r! |
Ω |
0.074521996123004 |
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 |
29400de1 88200ib1 88200dc1 |
Quadratic twists by: -3 5 -7 |