Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bh |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
31073250398976 = 28 · 311 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135543,19205314] |
[a1,a2,a3,a4,a6] |
Generators |
[42:3686:1] |
Generators of the group modulo torsion |
j |
1475664058635856/166501899 |
j-invariant |
L |
7.0284300344939 |
L(r)(E,1)/r! |
Ω |
0.63350433088968 |
Real period |
R |
5.5472628280355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25668h1 34224bi1 |
Quadratic twists by: -4 -3 |