Atkin-Lehner |
3+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14469a |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-17870358920746059 = -1 · 310 · 7 · 138 · 53 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ -3 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-630631,-192654627] |
[a1,a2,a3,a4,a6] |
Generators |
[18541:2522218:1] |
Generators of the group modulo torsion |
j |
-27736416332277125054464/17870358920746059 |
j-invariant |
L |
2.407525740914 |
L(r)(E,1)/r! |
Ω |
0.08470496957774 |
Real period |
R |
7.105621290332 |
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 |
43407d1 101283w1 |
Quadratic twists by: -3 -7 |