Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bx |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-2445593292800 = -1 · 212 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 2 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30400,2041520] |
[a1,a2,a3,a4,a6] |
j |
-30342021120000/23882747 |
j-invariant |
L |
5.6614059551697 |
L(r)(E,1)/r! |
Ω |
0.80877228438769 |
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 |
5075f1 81200ce1 |
Quadratic twists by: -4 5 |