Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
14384f |
Isogeny class |
Conductor |
14384 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
13929206056484864 = 224 · 29 · 315 |
Discriminant |
Eigenvalues |
2- -2 -3 2 -4 -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1124392,-459246924] |
[a1,a2,a3,a4,a6] |
Generators |
[-612:186:1] |
Generators of the group modulo torsion |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
2.0551129441855 |
L(r)(E,1)/r! |
Ω |
0.1466129710634 |
Real period |
R |
1.4017265520776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798a1 57536y1 129456cd1 |
Quadratic twists by: -4 8 -3 |