Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200cc |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-27971256320000 = -1 · 218 · 54 · 7 · 293 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14208,704512] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:640:1] [82:290:1] |
Generators of the group modulo torsion |
j |
-123911940625/10926272 |
j-invariant |
L |
8.4256620069503 |
L(r)(E,1)/r! |
Ω |
0.65081373292554 |
Real period |
R |
0.35962081778592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10150o1 81200bt1 |
Quadratic twists by: -4 5 |