Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280ck |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
402570000000000000 = 213 · 34 · 513 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-186760,-5822092] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:3750:1] |
Generators of the group modulo torsion |
j |
175880497476668041/98283691406250 |
j-invariant |
L |
8.9554010757874 |
L(r)(E,1)/r! |
Ω |
0.246627731042 |
Real period |
R |
0.34914818846046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910l1 |
Quadratic twists by: -4 |