Atkin-Lehner |
2+ 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838y |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2387968 |
Modular degree for the optimal curve |
Δ |
-2799035770189381632 = -1 · 222 · 34 · 73 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,198795,72923008] |
[a1,a2,a3,a4,a6] |
Generators |
[578:19230:1] |
Generators of the group modulo torsion |
j |
2533081152673755809/8160454140493824 |
j-invariant |
L |
7.3286293260897 |
L(r)(E,1)/r! |
Ω |
0.18015652722877 |
Real period |
R |
2.5424520437842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110838k1 |
Quadratic twists by: -7 |