Atkin-Lehner |
2+ 3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550m |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-402924427655062500 = -1 · 22 · 311 · 56 · 112 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31401,30612448] |
[a1,a2,a3,a4,a6] |
Generators |
[281:6492:1] |
Generators of the group modulo torsion |
j |
-219136257917569/25787163369924 |
j-invariant |
L |
5.9936012402705 |
L(r)(E,1)/r! |
Ω |
0.24574987481164 |
Real period |
R |
0.18476538231357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4422h1 |
Quadratic twists by: 5 |