Atkin-Lehner |
2+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770n |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-235665064880 = -1 · 24 · 5 · 79 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 2 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,971,20005] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-176:1] |
Generators of the group modulo torsion |
j |
860085351/2003120 |
j-invariant |
L |
2.5172475234478 |
L(r)(E,1)/r! |
Ω |
0.68972149626113 |
Real period |
R |
0.45620724036655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110a1 |
Quadratic twists by: -7 |