Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296bb |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-2298062945024 = -1 · 28 · 74 · 113 · 532 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5008,154684] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:-4081:8] [34:-154:1] |
Generators of the group modulo torsion |
j |
-54259614941184/8976808379 |
j-invariant |
L |
6.2398017574025 |
L(r)(E,1)/r! |
Ω |
0.78938833509405 |
Real period |
R |
0.16467923855166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16324a1 |
Quadratic twists by: -4 |