Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560w |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2707953444000000 = 28 · 34 · 56 · 74 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74660,-7417308] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:490:1] |
Generators of the group modulo torsion |
j |
179785027369362256/10577943140625 |
j-invariant |
L |
3.4169952520184 |
L(r)(E,1)/r! |
Ω |
0.289881663131 |
Real period |
R |
0.98229602126305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120bi2 |
Quadratic twists by: -4 |