Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080l |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
78557173819040000 = 28 · 54 · 79 · 233 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1379660,624058100] |
[a1,a2,a3,a4,a6] |
Generators |
[12675:240920:27] |
Generators of the group modulo torsion |
j |
28113694476208/7604375 |
j-invariant |
L |
9.6472884882116 |
L(r)(E,1)/r! |
Ω |
0.33528730961717 |
Real period |
R |
7.193299754787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160bk1 45080b1 |
Quadratic twists by: -4 -7 |