Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370y |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-6115602494564766720 = -1 · 210 · 37 · 5 · 113 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1226089,535825772] |
[a1,a2,a3,a4,a6] |
Generators |
[-1166:20090:1] [1435:40898:1] |
Generators of the group modulo torsion |
j |
-8444922396903721/253364474880 |
j-invariant |
L |
8.6550558572426 |
L(r)(E,1)/r! |
Ω |
0.2378824239967 |
Real period |
R |
0.64970991248594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610j1 |
Quadratic twists by: 17 |