Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100k |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
29164800 = 28 · 3 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,577] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] |
Generators of the group modulo torsion |
j |
40960000/4557 |
j-invariant |
L |
4.5895835303425 |
L(r)(E,1)/r! |
Ω |
2.030237228092 |
Real period |
R |
0.37676906803177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100be1 |
Quadratic twists by: 5 |