Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bj |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-2.1880654881449E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3725695,-22333373985] |
[a1,a2,a3,a4,a6] |
Generators |
[2458:41001:1] |
Generators of the group modulo torsion |
j |
21817529432070364511/834680743463485440 |
j-invariant |
L |
6.5265422661754 |
L(r)(E,1)/r! |
Ω |
0.047908476187826 |
Real period |
R |
5.2395917466963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840bx1 2370h1 |
Quadratic twists by: -4 8 |