Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13860b |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
18074574524160 = 28 · 39 · 5 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8343,210222] |
[a1,a2,a3,a4,a6] |
Generators |
[19:242:1] |
Generators of the group modulo torsion |
j |
12745567728/3587045 |
j-invariant |
L |
4.2576778576882 |
L(r)(E,1)/r! |
Ω |
0.64258178980552 |
Real period |
R |
1.1043154156238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440by2 13860h2 69300b2 97020s2 |
Quadratic twists by: -4 -3 5 -7 |