Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680w |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
10663718053478400 = 220 · 310 · 52 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61025,2977023] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:2688:1] |
Generators of the group modulo torsion |
j |
95876963491609/40678856100 |
j-invariant |
L |
8.3986312739768 |
L(r)(E,1)/r! |
Ω |
0.36620235169216 |
Real period |
R |
2.2934400159026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001301 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79680bl2 2490b2 |
Quadratic twists by: -4 8 |