Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110550y |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-133323300000000 = -1 · 28 · 33 · 58 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1701,556048] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1542:1] |
Generators of the group modulo torsion |
j |
-1392225385/341307648 |
j-invariant |
L |
5.9383177485207 |
L(r)(E,1)/r! |
Ω |
0.47590476959581 |
Real period |
R |
1.03982947871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110550bg1 |
Quadratic twists by: 5 |