Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cw |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
55648320 = 26 · 3 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-351,-2535] |
[a1,a2,a3,a4,a6] |
Generators |
[26:65:1] |
Generators of the group modulo torsion |
j |
13945313143/162240 |
j-invariant |
L |
9.2775446321208 |
L(r)(E,1)/r! |
Ω |
1.1037526121059 |
Real period |
R |
1.4009094263764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330da1 95550bb1 19110cb1 |
Quadratic twists by: -3 5 -7 |