Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400cm |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
249696000 = 28 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-748,8092] |
[a1,a2,a3,a4,a6] |
j |
1448301584/7803 |
j-invariant |
L |
1.7623958832126 |
L(r)(E,1)/r! |
Ω |
1.7623958832126 |
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 |
5100p2 81600jn2 61200gi2 20400dn2 |
Quadratic twists by: -4 8 -3 5 |