Atkin-Lehner |
7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38269g |
Isogeny class |
Conductor |
38269 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
440832 |
Modular degree for the optimal curve |
Δ |
-360375425783826607 = -1 · 79 · 116 · 712 |
Discriminant |
Eigenvalues |
1 -2 0 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116156,32645757] |
[a1,a2,a3,a4,a6] |
j |
-4294977781375/8930439001 |
j-invariant |
L |
1.6134156719652 |
L(r)(E,1)/r! |
Ω |
0.26890261199368 |
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 |
38269f1 |
Quadratic twists by: -7 |