Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ck |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-19451756242800 = -1 · 24 · 310 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12495,577955] |
[a1,a2,a3,a4,a6] |
Generators |
[91:441:1] |
Generators of the group modulo torsion |
j |
-6288640/567 |
j-invariant |
L |
7.2668503516705 |
L(r)(E,1)/r! |
Ω |
0.67049190722242 |
Real period |
R |
0.6773805055119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cv1 88200ii1 12600o1 |
Quadratic twists by: -3 5 -7 |