Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28200g |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39680 |
Modular degree for the optimal curve |
Δ |
70500000000 = 28 · 3 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5708,167412] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:250:1] |
Generators of the group modulo torsion |
j |
41141648/141 |
j-invariant |
L |
2.6830408621754 |
L(r)(E,1)/r! |
Ω |
1.1000298732203 |
Real period |
R |
2.4390618177677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400z1 84600cb1 28200z1 |
Quadratic twists by: -4 -3 5 |