Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458a |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
1756944 = 24 · 33 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33,45] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] [-2:11:1] |
Generators of the group modulo torsion |
j |
149721291/65072 |
j-invariant |
L |
4.2993939630487 |
L(r)(E,1)/r! |
Ω |
2.3873946098581 |
Real period |
R |
0.90043638896042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83664bc1 10458r1 73206c1 |
Quadratic twists by: -4 -3 -7 |