Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924i |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-1492054549673935104 = -1 · 28 · 310 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11+ 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-481143,-141262706] |
[a1,a2,a3,a4,a6] |
Generators |
[1550:53262:1] |
Generators of the group modulo torsion |
j |
-80915536/9801 |
j-invariant |
L |
5.7064633394966 |
L(r)(E,1)/r! |
Ω |
0.090024801885258 |
Real period |
R |
5.2823066716554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22308g1 66924m1 |
Quadratic twists by: -3 13 |