Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192r |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2905108466204672 = -1 · 215 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151328,-22856716] |
[a1,a2,a3,a4,a6] |
Generators |
[28110:831824:27] |
Generators of the group modulo torsion |
j |
-795309684625/6028568 |
j-invariant |
L |
5.312255048278 |
L(r)(E,1)/r! |
Ω |
0.1209742439717 |
Real period |
R |
5.4890351800013 |
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 |
1274i2 40768do2 91728dt2 1456g2 |
Quadratic twists by: -4 8 -3 -7 |