Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650br |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
256836906000 = 24 · 38 · 53 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25441,-1563772] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:59:1] |
Generators of the group modulo torsion |
j |
14567723630820989/2054695248 |
j-invariant |
L |
6.0720475225075 |
L(r)(E,1)/r! |
Ω |
0.37802605207518 |
Real period |
R |
1.0039069300242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999143291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127650ck1 |
Quadratic twists by: 5 |