Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cc |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-2.4089805042495E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59251185,-177152948985] |
[a1,a2,a3,a4,a6] |
j |
-155398856216042825569/1627294921875000 |
j-invariant |
L |
2.2840392676937 |
L(r)(E,1)/r! |
Ω |
0.027190939959018 |
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 |
4830u2 |
Quadratic twists by: -23 |