Atkin-Lehner |
2+ 3- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370q |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10839318750000 = 24 · 37 · 58 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1827189,951112773] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:34719:1] |
Generators of the group modulo torsion |
j |
925436732683043035729/14868750000 |
j-invariant |
L |
5.1731731979604 |
L(r)(E,1)/r! |
Ω |
0.51365890040558 |
Real period |
R |
2.5178056848366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998609 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23790s4 |
Quadratic twists by: -3 |