Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920eg |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
500679252864000000 = 213 · 38 · 56 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18696387,-31116044734] |
[a1,a2,a3,a4,a6] |
j |
242052349717010282689/167676468750 |
j-invariant |
L |
3.484988273123 |
L(r)(E,1)/r! |
Ω |
0.072603933524248 |
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 |
14490bf4 38640bm4 |
Quadratic twists by: -4 -3 |