Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36080f |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
31750400 = 28 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1660,26592] |
[a1,a2,a3,a4,a6] |
Generators |
[282:825:8] |
Generators of the group modulo torsion |
j |
1977286530256/124025 |
j-invariant |
L |
9.7390517597981 |
L(r)(E,1)/r! |
Ω |
1.974121475081 |
Real period |
R |
2.4666799593472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18040d1 |
Quadratic twists by: -4 |