Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832bl |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4126464 |
Modular degree for the optimal curve |
Δ |
-4.6128900272752E+20 |
Discriminant |
Eigenvalues |
2- 2 3 0 1 -1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377569,1206729857] |
[a1,a2,a3,a4,a6] |
Generators |
[4359995:813819168:125] |
Generators of the group modulo torsion |
j |
-8822957266824929864/14077423178940323 |
j-invariant |
L |
12.764430821137 |
L(r)(E,1)/r! |
Ω |
0.14937680315917 |
Real period |
R |
4.7472902697753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832bo1 56416l1 |
Quadratic twists by: -4 8 |