Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280j |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
59515713404160000 = 211 · 3 · 54 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1529520,728498400] |
[a1,a2,a3,a4,a6] |
Generators |
[770:2590:1] |
Generators of the group modulo torsion |
j |
193223313046296804962/29060406935625 |
j-invariant |
L |
5.0788648818119 |
L(r)(E,1)/r! |
Ω |
0.33943556452566 |
Real period |
R |
3.7406693733874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29640x6 |
Quadratic twists by: -4 |