Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240s |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4747539600000000 = 210 · 311 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3127827,2129176546] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:49500:1] |
Generators of the group modulo torsion |
j |
4533403753711490116/6359765625 |
j-invariant |
L |
6.1887464712735 |
L(r)(E,1)/r! |
Ω |
0.36831071420045 |
Real period |
R |
2.1003823105996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999775 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24120y4 16080h3 |
Quadratic twists by: -4 -3 |