Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192u |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3207461863424 = -1 · 221 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 1 3 7- -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360264,-83350156] |
[a1,a2,a3,a4,a6] |
Generators |
[13421426190:-249537246848:15438249] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
5.9211315416658 |
L(r)(E,1)/r! |
Ω |
0.097434828647942 |
Real period |
R |
15.192543631037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1274c3 40768dr3 91728et3 208a3 |
Quadratic twists by: -4 8 -3 -7 |