Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bf |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-28868400000000 = -1 · 210 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6312,-322616] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1620:1] |
Generators of the group modulo torsion |
j |
-37256083456/38671875 |
j-invariant |
L |
6.5656127126086 |
L(r)(E,1)/r! |
Ω |
0.25715487336201 |
Real period |
R |
1.5957340771853 |
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 |
31680dv1 3960e1 10560t1 |
Quadratic twists by: -4 8 -3 |