Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656j |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3067200 |
Modular degree for the optimal curve |
Δ |
-8.4640206847444E+19 |
Discriminant |
Eigenvalues |
2- 1 4 4 -1 -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119304,442391252] |
[a1,a2,a3,a4,a6] |
Generators |
[1641346826734:65531906837600:1892819053] |
Generators of the group modulo torsion |
j |
71/32 |
j-invariant |
L |
11.542009424386 |
L(r)(E,1)/r! |
Ω |
0.14916965203921 |
Real period |
R |
19.343762733575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10082f1 80656k1 |
Quadratic twists by: -4 -71 |