Atkin-Lehner |
2- 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37944k |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-104497776 = -1 · 24 · 36 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99,-621] |
[a1,a2,a3,a4,a6] |
Generators |
[13:17:1] [21:81:1] |
Generators of the group modulo torsion |
j |
-9199872/8959 |
j-invariant |
L |
7.3216725420519 |
L(r)(E,1)/r! |
Ω |
0.72795386990742 |
Real period |
R |
1.2572349781901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75888d1 4216c1 |
Quadratic twists by: -4 -3 |