Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400cl |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-26593920000 = -1 · 210 · 37 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 5 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,7850] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:90:1] |
Generators of the group modulo torsion |
j |
-100/57 |
j-invariant |
L |
7.5780247413159 |
L(r)(E,1)/r! |
Ω |
0.96202490336611 |
Real period |
R |
0.32821502828732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200db1 22800l1 68400bl1 |
Quadratic twists by: -4 -3 5 |