Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550by |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-21560874282460800 = -1 · 27 · 315 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-334692,-74777904] |
[a1,a2,a3,a4,a6] |
Generators |
[675:2214:1] [2133:93339:1] |
Generators of the group modulo torsion |
j |
-227506023808875625/1183038369408 |
j-invariant |
L |
9.0639996389338 |
L(r)(E,1)/r! |
Ω |
0.099214034040179 |
Real period |
R |
3.8065849780381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850cr1 116550fj1 |
Quadratic twists by: -3 5 |