Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600bw |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-31096000000000 = -1 · 212 · 59 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4000,-250000] |
[a1,a2,a3,a4,a6] |
Generators |
[1250:16375:8] |
Generators of the group modulo torsion |
j |
884736/3887 |
j-invariant |
L |
5.700486174434 |
L(r)(E,1)/r! |
Ω |
0.33319585188577 |
Real period |
R |
4.2771286841275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475e1 119600co1 |
Quadratic twists by: -4 5 |