Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780y |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
388484221305600 = 28 · 314 · 52 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39636,2872260] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:2430:1] [-208:1470:1] |
Generators of the group modulo torsion |
j |
78427801868848/4424246325 |
j-invariant |
L |
12.930680329722 |
L(r)(E,1)/r! |
Ω |
0.52631792680422 |
Real period |
R |
0.58495697281492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108780o2 |
Quadratic twists by: -7 |