Atkin-Lehner |
2- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38318m |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
467712 |
Modular degree for the optimal curve |
Δ |
-3835541813395712 = -1 · 28 · 78 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 1 4 7+ -5 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112211,-14780767] |
[a1,a2,a3,a4,a6] |
Generators |
[8342:757129:1] |
Generators of the group modulo torsion |
j |
-27104782837489/665338112 |
j-invariant |
L |
12.887458276481 |
L(r)(E,1)/r! |
Ω |
0.13023591296205 |
Real period |
R |
6.1846699881831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38318x1 |
Quadratic twists by: -7 |