Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264s |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-243870206976 = -1 · 210 · 34 · 113 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1211,17771] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:69:1] |
Generators of the group modulo torsion |
j |
191645007872/238154499 |
j-invariant |
L |
7.6956564927327 |
L(r)(E,1)/r! |
Ω |
0.66225399051414 |
Real period |
R |
2.9051000798497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264bn1 6204d1 |
Quadratic twists by: -4 8 |