Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10296d |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1085130581581043712 = -1 · 211 · 310 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,256461,3593198] |
[a1,a2,a3,a4,a6] |
Generators |
[-37110:2965274:3375] |
Generators of the group modulo torsion |
j |
1249482637192606/726816072411 |
j-invariant |
L |
5.1877562645987 |
L(r)(E,1)/r! |
Ω |
0.1662795225607 |
Real period |
R |
7.7997521653709 |
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 |
20592n6 82368bu5 3432g6 113256bn5 |
Quadratic twists by: -4 8 -3 -11 |