Atkin-Lehner |
2+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45248q |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2895872 = -1 · 212 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -6 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,-167] |
[a1,a2,a3,a4,a6] |
Generators |
[31:164:1] |
Generators of the group modulo torsion |
j |
-5088448/707 |
j-invariant |
L |
4.9342383652969 |
L(r)(E,1)/r! |
Ω |
0.86085343783458 |
Real period |
R |
2.8658992044517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248g1 22624d1 |
Quadratic twists by: -4 8 |