Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200y |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-614942039868750000 = -1 · 24 · 33 · 58 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26383,37756238] |
[a1,a2,a3,a4,a6] |
Generators |
[-307:4125:1] |
Generators of the group modulo torsion |
j |
-8124052043776/2459768159475 |
j-invariant |
L |
8.9179048643312 |
L(r)(E,1)/r! |
Ω |
0.2352083859572 |
Real period |
R |
0.78989396498226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440t1 |
Quadratic twists by: 5 |