Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115y |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27000 |
Modular degree for the optimal curve |
Δ |
-45201378915 = -1 · 36 · 5 · 7 · 116 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1452,23625] |
[a1,a2,a3,a4,a6] |
j |
-262144/35 |
j-invariant |
L |
1.1012502676651 |
L(r)(E,1)/r! |
Ω |
1.1012502676817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4235b1 315a1 |
Quadratic twists by: -3 -11 |