Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304en |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-2062327414020636672 = -1 · 222 · 38 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -5 13- 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244673,83411553] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-6272:1] |
Generators of the group modulo torsion |
j |
-1071912625/1364688 |
j-invariant |
L |
5.8880186752846 |
L(r)(E,1)/r! |
Ω |
0.23618851877716 |
Real period |
R |
1.0387215830031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999738653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304cl1 30576ci1 122304gy1 |
Quadratic twists by: -4 8 -7 |