Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23088d |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4121600 |
Modular degree for the optimal curve |
Δ |
-9.0408483609059E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169432643,848943803610] |
[a1,a2,a3,a4,a6] |
j |
-33619789394618146595905792000/565053022556621337843 |
j-invariant |
L |
0.95378117618207 |
L(r)(E,1)/r! |
Ω |
0.11922264702275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11544h1 92352cj1 69264k1 |
Quadratic twists by: -4 8 -3 |