Atkin-Lehner |
2- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
14420b |
Isogeny class |
Conductor |
14420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4176 |
Modular degree for the optimal curve |
Δ |
45221120 = 28 · 5 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 6 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248,-1468] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2:1] |
Generators of the group modulo torsion |
j |
6589292544/176645 |
j-invariant |
L |
4.0436680060204 |
L(r)(E,1)/r! |
Ω |
1.2050285910666 |
Real period |
R |
1.1185538213223 |
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 |
57680l1 129780q1 72100c1 100940d1 |
Quadratic twists by: -4 -3 5 -7 |