Atkin-Lehner |
2- 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646bf |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-183058565976 = -1 · 23 · 38 · 11 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11+ 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-527972,-147528417] |
[a1,a2,a3,a4,a6] |
Generators |
[80987:23005923:1] |
Generators of the group modulo torsion |
j |
-22326882463851405049/251109144 |
j-invariant |
L |
9.7735727168735 |
L(r)(E,1)/r! |
Ω |
0.08855577745505 |
Real period |
R |
9.1971909279892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882e1 |
Quadratic twists by: -3 |