Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512r |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65856 |
Modular degree for the optimal curve |
Δ |
-7463710913904 = -1 · 24 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4688,43345] |
[a1,a2,a3,a4,a6] |
Generators |
[1560:61655:1] |
Generators of the group modulo torsion |
j |
123506432/80919 |
j-invariant |
L |
6.5328140133946 |
L(r)(E,1)/r! |
Ω |
0.46483884491068 |
Real period |
R |
7.0269665335793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024z1 43512bk1 |
Quadratic twists by: -4 -7 |