Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128o |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-2888164178916336 = -1 · 24 · 38 · 317 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -6 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7368,2576619] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2883:1] |
Generators of the group modulo torsion |
j |
3114752/203391 |
j-invariant |
L |
4.681879436366 |
L(r)(E,1)/r! |
Ω |
0.34468006172254 |
Real period |
R |
0.42447692406464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23064c1 1488a1 |
Quadratic twists by: -4 -31 |