Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300bb |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-434700000000 = -1 · 28 · 33 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6333,194463] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:462:1] |
Generators of the group modulo torsion |
j |
-280944640/4347 |
j-invariant |
L |
7.5748209173302 |
L(r)(E,1)/r! |
Ω |
0.94353659026266 |
Real period |
R |
2.6760385679045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48300d1 |
Quadratic twists by: 5 |