Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130z |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-85106160 = -1 · 24 · 33 · 5 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,74,-364] |
[a1,a2,a3,a4,a6] |
Generators |
[94:325:8] |
Generators of the group modulo torsion |
j |
44776693151/85106160 |
j-invariant |
L |
10.908662926912 |
L(r)(E,1)/r! |
Ω |
1.0023641795692 |
Real period |
R |
1.8138222862274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390q1 |
Quadratic twists by: -3 |