Atkin-Lehner |
2+ 3- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642o |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
29568000 |
Modular degree for the optimal curve |
Δ |
-2.5105982869602E+25 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22332555,-244464876603] |
[a1,a2,a3,a4,a6] |
Generators |
[27993:4575702:1] |
Generators of the group modulo torsion |
j |
-1689707109700724952181681/34438933977505643063296 |
j-invariant |
L |
2.5431207075933 |
L(r)(E,1)/r! |
Ω |
0.028963369752596 |
Real period |
R |
4.3902362400763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10738e1 |
Quadratic twists by: -3 |