Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688bh |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
364618791033262848 = 28 · 325 · 412 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184076,8883672] |
[a1,a2,a3,a4,a6] |
Generators |
[1663:65610:1] |
Generators of the group modulo torsion |
j |
1602912804305104/847288609443 |
j-invariant |
L |
10.16570591931 |
L(r)(E,1)/r! |
Ω |
0.26491782346708 |
Real period |
R |
1.534922155984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172e1 80688v1 |
Quadratic twists by: -4 41 |