Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12540c |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
411713280 = 28 · 34 · 5 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:38:1] |
Generators of the group modulo torsion |
j |
5702413264/1608255 |
j-invariant |
L |
3.675933680109 |
L(r)(E,1)/r! |
Ω |
1.5658399044502 |
Real period |
R |
0.78252650428731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160bt2 37620i2 62700bb2 |
Quadratic twists by: -4 -3 5 |