Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48552s |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-1530968257842960384 = -1 · 211 · 37 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -5 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67144,-59928592] |
[a1,a2,a3,a4,a6] |
Generators |
[3658:18207:8] |
Generators of the group modulo torsion |
j |
-2343314/107163 |
j-invariant |
L |
8.2502802803037 |
L(r)(E,1)/r! |
Ω |
0.11735114384366 |
Real period |
R |
1.6739099282272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104l1 48552l1 |
Quadratic twists by: -4 17 |