Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120dc |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-50032174694400000 = -1 · 228 · 33 · 55 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80415,6253983] |
[a1,a2,a3,a4,a6] |
Generators |
[21:2820:1] |
Generators of the group modulo torsion |
j |
219376239860231/190857600000 |
j-invariant |
L |
8.2716771195311 |
L(r)(E,1)/r! |
Ω |
0.23174513982372 |
Real period |
R |
1.189766356527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120k1 11280n1 |
Quadratic twists by: -4 8 |