Atkin-Lehner |
2+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840n |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
82288640000 = 216 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2945,58975] |
[a1,a2,a3,a4,a6] |
Generators |
[45:140:1] [-46:315:1] |
Generators of the group modulo torsion |
j |
43116861316/1255625 |
j-invariant |
L |
7.9486270260492 |
L(r)(E,1)/r! |
Ω |
1.076858276965 |
Real period |
R |
0.92266401207561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840bp1 11480b1 |
Quadratic twists by: -4 8 |