Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bp |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
352652343321600 = 210 · 312 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104403,12952798] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1170:1] |
Generators of the group modulo torsion |
j |
168591300897604/472410225 |
j-invariant |
L |
6.762625943318 |
L(r)(E,1)/r! |
Ω |
0.54044205429826 |
Real period |
R |
3.1282844707783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920p2 19320l2 |
Quadratic twists by: -4 -3 |