Atkin-Lehner |
2+ 3- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238bi |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
-5.8632227233991E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3824622,2903360980] |
[a1,a2,a3,a4,a6] |
j |
-8487148561277588646625/80428295245529088 |
j-invariant |
L |
2.3849580951182 |
L(r)(E,1)/r! |
Ω |
0.19874651784252 |
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 |
31746w1 |
Quadratic twists by: -3 |