Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6270r |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
500 |
Product of Tamagawa factors cp |
Δ |
301547812500000 = 25 · 35 · 510 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-454955,118072977] |
[a1,a2,a3,a4,a6] |
Generators |
[-776:2383:1] |
Generators of the group modulo torsion |
j |
10414276373665867414321/301547812500000 |
j-invariant |
L |
6.8740037014054 |
L(r)(E,1)/r! |
Ω |
0.50782646680533 |
Real period |
R |
2.7072254601651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
10 |
Number of elements in the torsion subgroup |
Twists |
50160bl2 18810d2 31350f2 68970bh2 |
Quadratic twists by: -4 -3 5 -11 |