Atkin-Lehner |
2- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
54280g |
Isogeny class |
Conductor |
54280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
-998752000000 = -1 · 211 · 56 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 3 -3 -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-960,-49108] |
[a1,a2,a3,a4,a6] |
Generators |
[89:750:1] |
Generators of the group modulo torsion |
j |
-47825527682/487671875 |
j-invariant |
L |
10.412300369583 |
L(r)(E,1)/r! |
Ω |
0.37274871780614 |
Real period |
R |
2.3278194022251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560g1 |
Quadratic twists by: -4 |