Atkin-Lehner |
2+ 5- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970j |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3306240 |
Modular degree for the optimal curve |
Δ |
-2.8698898457428E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11+ -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,498402,219338256] |
[a1,a2,a3,a4,a6] |
Generators |
[3450:205652:1] |
Generators of the group modulo torsion |
j |
5702589812316689159/11952893984768000 |
j-invariant |
L |
5.235769813055 |
L(r)(E,1)/r! |
Ω |
0.14538507026733 |
Real period |
R |
6.0021863340905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000231902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970c1 |
Quadratic twists by: -7 |