Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660z |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-30425718960 = -1 · 24 · 38 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,672,-5047] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-189:1] [16:99:1] |
Generators of the group modulo torsion |
j |
8388608/7605 |
j-invariant |
L |
10.814032570277 |
L(r)(E,1)/r! |
Ω |
0.64442172895549 |
Real period |
R |
1.3984155720128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220n1 114660bz1 |
Quadratic twists by: -3 -7 |