Atkin-Lehner |
2- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896h |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-1961077178368 = -1 · 216 · 74 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3109,9354] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-352:1] |
Generators of the group modulo torsion |
j |
811383048783/478778608 |
j-invariant |
L |
2.0683730101931 |
L(r)(E,1)/r! |
Ω |
0.50504325633107 |
Real period |
R |
1.0238593249688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15862d1 |
Quadratic twists by: -4 |