Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382v |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1003888537064028 = -1 · 22 · 32 · 77 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190023,-31998471] |
[a1,a2,a3,a4,a6] |
Generators |
[25166:1384831:8] |
Generators of the group modulo torsion |
j |
-6449916994998625/8532911772 |
j-invariant |
L |
7.1053581988877 |
L(r)(E,1)/r! |
Ω |
0.11432298630214 |
Real period |
R |
7.7689518396095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626q1 |
Quadratic twists by: -7 |