Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080o |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3766639656960 = -1 · 219 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865,94177] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:151:1] |
Generators of the group modulo torsion |
j |
-273359449/14368590 |
j-invariant |
L |
5.766801767624 |
L(r)(E,1)/r! |
Ω |
0.65133440331337 |
Real period |
R |
4.4269132252161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080cp1 2190d1 |
Quadratic twists by: -4 8 |