Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600hm |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5661810855936000 = 215 · 314 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47073,-1516383] |
[a1,a2,a3,a4,a6] |
j |
2816362943848/1382278041 |
j-invariant |
L |
2.7256594785499 |
L(r)(E,1)/r! |
Ω |
0.34070743377939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600jt2 40800bd2 81600jh2 |
Quadratic twists by: -4 8 5 |