Atkin-Lehner |
7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227h |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
417480 |
Modular degree for the optimal curve |
Δ |
-1258468110440857043 = -1 · 710 · 137 · 71 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89287,-54919236] |
[a1,a2,a3,a4,a6] |
Generators |
[38682392388338550526916920:-123812718264749714062398206:83971127158699677907717] |
Generators of the group modulo torsion |
j |
-278683169625/4455144707 |
j-invariant |
L |
4.886139174558 |
L(r)(E,1)/r! |
Ω |
0.11691526347223 |
Real period |
R |
41.792140986953 |
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 |
45227c1 |
Quadratic twists by: -7 |