Atkin-Lehner |
2+ 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410g |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37106747015931000 = 23 · 318 · 53 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-902295,-329535675] |
[a1,a2,a3,a4,a6] |
Generators |
[-557:314:1] [1441:36170:1] |
Generators of the group modulo torsion |
j |
111440257480183313521/50900887539000 |
j-invariant |
L |
7.0804083374985 |
L(r)(E,1)/r! |
Ω |
0.15490816157546 |
Real period |
R |
22.853567777672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bo2 |
Quadratic twists by: -3 |