Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bu |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5410873170312341886 = 2 · 34 · 714 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25761825,-50330412674] |
[a1,a2,a3,a4,a6] |
Generators |
[-1116451253900:426461916966:381078125] |
Generators of the group modulo torsion |
j |
16071829816056872321017/45991663085214 |
j-invariant |
L |
8.1920258347164 |
L(r)(E,1)/r! |
Ω |
0.067012446703502 |
Real period |
R |
10.187194347469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094h3 |
Quadratic twists by: -7 |