Atkin-Lehner |
2+ 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200o |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-453720046000000000 = -1 · 210 · 59 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -2 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33792,32308412] |
[a1,a2,a3,a4,a6] |
Generators |
[1328020609540929:-38705235226774858:4997579771673] |
Generators of the group modulo torsion |
j |
2133646924/226860023 |
j-invariant |
L |
11.779952433482 |
L(r)(E,1)/r! |
Ω |
0.22756634034609 |
Real period |
R |
25.882457819613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122200bb2 |
Quadratic twists by: 5 |