Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107632j |
Isogeny class |
Conductor |
107632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-5654417103394963456 = -1 · 222 · 72 · 317 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -2 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,322576,90197716] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:4790:1] |
Generators of the group modulo torsion |
j |
1021147343/1555456 |
j-invariant |
L |
3.8364988209615 |
L(r)(E,1)/r! |
Ω |
0.16341063748152 |
Real period |
R |
5.869414194387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998967029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13454h1 3472e1 |
Quadratic twists by: -4 -31 |