Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48598d |
Isogeny class |
Conductor |
48598 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-534578 = -1 · 2 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 1 -4 -2 11- -6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23,52] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-571849/242 |
j-invariant |
L |
2.5971893152272 |
L(r)(E,1)/r! |
Ω |
2.7410829344164 |
Real period |
R |
0.47375241416431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48598b1 |
Quadratic twists by: -47 |