Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bc |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-1387766097386323200 = -1 · 28 · 310 · 52 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439383,125615518] |
[a1,a2,a3,a4,a6] |
Generators |
[414:3830:1] |
Generators of the group modulo torsion |
j |
-177953104/26325 |
j-invariant |
L |
5.6690574785545 |
L(r)(E,1)/r! |
Ω |
0.26110914191252 |
Real period |
R |
5.427861911355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220be1 114660bi1 |
Quadratic twists by: -3 -7 |