Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280by |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
240768 |
Modular degree for the optimal curve |
Δ |
-1583887500000000 = -1 · 28 · 33 · 511 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26595,-929097] |
[a1,a2,a3,a4,a6] |
Generators |
[51:750:1] |
Generators of the group modulo torsion |
j |
8125823797796864/6187060546875 |
j-invariant |
L |
9.8628337764096 |
L(r)(E,1)/r! |
Ω |
0.26538076228256 |
Real period |
R |
0.28155182409399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14820c1 |
Quadratic twists by: -4 |