Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456bc |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-201671092224 = -1 · 211 · 33 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1584,31968] |
[a1,a2,a3,a4,a6] |
Generators |
[51:294:1] |
Generators of the group modulo torsion |
j |
-1825346/837 |
j-invariant |
L |
8.0967065694097 |
L(r)(E,1)/r! |
Ω |
0.93772516283722 |
Real period |
R |
1.4390688747421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912g1 109368ba1 744e1 |
Quadratic twists by: -4 -3 -7 |