Atkin-Lehner |
2- 3+ 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370s |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-53496668160000 = -1 · 216 · 33 · 54 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3377,-359071] |
[a1,a2,a3,a4,a6] |
Generators |
[117:856:1] |
Generators of the group modulo torsion |
j |
-157700314117683/1981358080000 |
j-invariant |
L |
11.3806339545 |
L(r)(E,1)/r! |
Ω |
0.2689525897465 |
Real period |
R |
0.6611663628355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370a1 |
Quadratic twists by: -3 |