Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842i |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-1.0566445261008E+21 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,893734,1529837964] |
[a1,a2,a3,a4,a6] |
Generators |
[-15441:786395:27] |
Generators of the group modulo torsion |
j |
4533086375/60669952 |
j-invariant |
L |
2.362078873687 |
L(r)(E,1)/r! |
Ω |
0.11508156303671 |
Real period |
R |
2.5656573600234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406c1 2254a1 |
Quadratic twists by: -7 -23 |