Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600bq |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-41400000000000 = -1 · 212 · 32 · 511 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -4 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-292533,60997437] |
[a1,a2,a3,a4,a6] |
Generators |
[372:1875:1] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
4.1508173306398 |
L(r)(E,1)/r! |
Ω |
0.58869399295348 |
Real period |
R |
0.88136140769313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1725m1 110400ii1 82800db1 5520x1 |
Quadratic twists by: -4 8 -3 5 |