Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248bc |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
81084416 = 214 · 72 · 101 |
Discriminant |
Eigenvalues |
2- -2 3 7- 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229,-1341] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:7:1] |
Generators of the group modulo torsion |
j |
81415168/4949 |
j-invariant |
L |
5.5403492771442 |
L(r)(E,1)/r! |
Ω |
1.231491637589 |
Real period |
R |
2.2494465687115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248c1 11312h1 |
Quadratic twists by: -4 8 |