Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512w |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
62211068965850112 = 210 · 33 · 74 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123051,-11489994] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:2254:1] |
Generators of the group modulo torsion |
j |
7452730787606604/2250111001369 |
j-invariant |
L |
4.7671514037913 |
L(r)(E,1)/r! |
Ω |
0.26086834421153 |
Real period |
R |
2.2842707216559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127512b2 |
Quadratic twists by: -3 |