Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400p |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1323000000000 = 29 · 33 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4875,-118750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1158:2888:27] |
Generators of the group modulo torsion |
j |
474552/49 |
j-invariant |
L |
7.0228331907113 |
L(r)(E,1)/r! |
Ω |
0.57516432557765 |
Real period |
R |
6.1050667421373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cq2 100800cn2 50400ct2 50400cp2 |
Quadratic twists by: -4 8 -3 5 |