Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192bg |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-886302508728713216 = -1 · 220 · 72 · 297 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -1 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1372792,-620289424] |
[a1,a2,a3,a4,a6] |
Generators |
[1634:38686:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
3.1715996741699 |
L(r)(E,1)/r! |
Ω |
0.069724881670491 |
Real period |
R |
2.8429590037484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774b1 3248n1 |
Quadratic twists by: -4 29 |