Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760t |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
285696000000 = 216 · 32 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,29025] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-400:1] |
Generators of the group modulo torsion |
j |
16662038116/4359375 |
j-invariant |
L |
4.6927392136149 |
L(r)(E,1)/r! |
Ω |
0.91163280100441 |
Real period |
R |
0.42896833100314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cu2 3720d2 89280br2 |
Quadratic twists by: -4 8 -3 |