Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728dm |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-494752432518070272 = -1 · 228 · 310 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-536403,154952210] |
[a1,a2,a3,a4,a6] |
Generators |
[96985:1745190:343] |
Generators of the group modulo torsion |
j |
-2380771254001/69009408 |
j-invariant |
L |
9.6856297954501 |
L(r)(E,1)/r! |
Ω |
0.29345828673109 |
Real period |
R |
8.2512832729803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466l1 30576bk1 91728gh1 |
Quadratic twists by: -4 -3 -7 |