Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288s |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-57636269822976 = -1 · 210 · 3 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 0 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97400,11673312] |
[a1,a2,a3,a4,a6] |
Generators |
[732:18252:1] |
Generators of the group modulo torsion |
j |
-122337124/69 |
j-invariant |
L |
7.6729479020549 |
L(r)(E,1)/r! |
Ω |
0.61884736532918 |
Real period |
R |
2.0664621378597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93288bl1 |
Quadratic twists by: 13 |