Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300d |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-27820800 = -1 · 28 · 33 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-253,1657] |
[a1,a2,a3,a4,a6] |
Generators |
[8:9:1] |
Generators of the group modulo torsion |
j |
-280944640/4347 |
j-invariant |
L |
4.3759309187563 |
L(r)(E,1)/r! |
Ω |
2.1098119550857 |
Real period |
R |
2.0740857535769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300bb1 |
Quadratic twists by: 5 |