Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305f |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
38035977261345 = 32 · 5 · 72 · 297 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1120650,456151062] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:26606:1] [2150:104593:8] |
Generators of the group modulo torsion |
j |
261665059972681/63945 |
j-invariant |
L |
6.2911351179858 |
L(r)(E,1)/r! |
Ω |
0.51686710046946 |
Real period |
R |
12.171668717749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3045i1 |
Quadratic twists by: 29 |