Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960bb |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10077348996000000 = 28 · 36 · 56 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69183,5072382] |
[a1,a2,a3,a4,a6] |
Generators |
[69:792:1] |
Generators of the group modulo torsion |
j |
196225023615696/53998140625 |
j-invariant |
L |
5.545995313048 |
L(r)(E,1)/r! |
Ω |
0.37987171207662 |
Real period |
R |
3.6499133353082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004668 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51480bi2 11440e2 |
Quadratic twists by: -4 -3 |