Atkin-Lehner |
3+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469d |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-222518751 = -1 · 3 · 72 · 134 · 53 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,106,626] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
131639193503/222518751 |
j-invariant |
L |
1.558551914657 |
L(r)(E,1)/r! |
Ω |
1.2110146165733 |
Real period |
R |
2.57396053413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43407h1 101283u1 |
Quadratic twists by: -3 -7 |