Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480be |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-82288111863600 = -1 · 24 · 320 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32628,-2310077] |
[a1,a2,a3,a4,a6] |
Generators |
[83322859:6892897230:12167] |
Generators of the group modulo torsion |
j |
-329342336352256/7054879275 |
j-invariant |
L |
4.9736715364446 |
L(r)(E,1)/r! |
Ω |
0.17738675106099 |
Real period |
R |
14.019286972369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10620h1 14160bb1 |
Quadratic twists by: -4 -3 |