Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680r |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
41932800 |
Modular degree for the optimal curve |
Δ |
-8.0932601505597E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1804324321,29502438037379] |
[a1,a2,a3,a4,a6] |
Generators |
[24215:-100842:1] |
Generators of the group modulo torsion |
j |
-21569462179645467300176896/2687170946044921875 |
j-invariant |
L |
7.5412557872739 |
L(r)(E,1)/r! |
Ω |
0.058612603523829 |
Real period |
R |
1.6082837422857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360bc1 9240e1 |
Quadratic twists by: -4 -7 |