Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928br |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-12621092587632 = -1 · 24 · 36 · 196 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27549,-1768257] |
[a1,a2,a3,a4,a6] |
Generators |
[1248246:51399541:729] |
Generators of the group modulo torsion |
j |
-198241108860672/1082055263 |
j-invariant |
L |
8.8559458990846 |
L(r)(E,1)/r! |
Ω |
0.18522574835625 |
Real period |
R |
7.9686058563356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15732c1 6992u1 |
Quadratic twists by: -4 -3 |