Atkin-Lehner |
2+ 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730d |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
92054340 = 22 · 33 · 5 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:15:1] |
Generators of the group modulo torsion |
j |
7111117467/3409420 |
j-invariant |
L |
3.4001970792839 |
L(r)(E,1)/r! |
Ω |
1.5121226381129 |
Real period |
R |
0.56215630160809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44730bd1 |
Quadratic twists by: -3 |