Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150w |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-9481500 = -1 · 22 · 32 · 53 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65,225] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-9:1] [-4:23:1] |
Generators of the group modulo torsion |
j |
-248858189/75852 |
j-invariant |
L |
5.9449997617662 |
L(r)(E,1)/r! |
Ω |
2.1794263401185 |
Real period |
R |
0.68194547945143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150db1 |
Quadratic twists by: 5 |