Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38478d |
Isogeny class |
Conductor |
38478 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-398939904 = -1 · 28 · 35 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11- -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157,1208] |
[a1,a2,a3,a4,a6] |
Generators |
[19:62:1] |
Generators of the group modulo torsion |
j |
-3504731857/3297024 |
j-invariant |
L |
6.9639260583675 |
L(r)(E,1)/r! |
Ω |
1.538337459864 |
Real period |
R |
0.45269170387245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434bv1 38478k1 |
Quadratic twists by: -3 -11 |