Atkin-Lehner |
2+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192a |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-53774336 = -1 · 211 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11+ -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1232,16244] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-44:1] |
Generators of the group modulo torsion |
j |
-101059779746/26257 |
j-invariant |
L |
3.947002280551 |
L(r)(E,1)/r! |
Ω |
1.9445980650313 |
Real period |
R |
0.2537158161066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19096g1 |
Quadratic twists by: -4 |