Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438o |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-23147960478449664 = -1 · 214 · 3 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 13- 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40175,7945826] |
[a1,a2,a3,a4,a6] |
j |
-4047806261953/13066420224 |
j-invariant |
L |
2.0016703318044 |
L(r)(E,1)/r! |
Ω |
0.3336117219674 |
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 |
75504bv1 28314ci1 858l1 122694dd1 |
Quadratic twists by: -4 -3 -11 13 |