Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050p |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-7.0765544660679E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -6 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1733517,-4141144859] |
[a1,a2,a3,a4,a6] |
Generators |
[4502247725:228839883416:1295029] |
Generators of the group modulo torsion |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
2.4788541239283 |
L(r)(E,1)/r! |
Ω |
0.056577019978159 |
Real period |
R |
10.953449496303 |
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 |
104400ff1 4350q1 522m1 |
Quadratic twists by: -4 -3 5 |