Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bf |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
73164072960000 = 214 · 310 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118812,-15757616] |
[a1,a2,a3,a4,a6] |
Generators |
[533:8505:1] |
Generators of the group modulo torsion |
j |
15529488955216/6125625 |
j-invariant |
L |
6.5656127126086 |
L(r)(E,1)/r! |
Ω |
0.25715487336201 |
Real period |
R |
3.1914681543706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680dv2 3960e2 10560t2 |
Quadratic twists by: -4 8 -3 |