Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746br |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-50291694469384704 = -1 · 29 · 38 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 -2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16424393,25624283465] |
[a1,a2,a3,a4,a6] |
Generators |
[2319:604:1] |
Generators of the group modulo torsion |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
8.5687250293165 |
L(r)(E,1)/r! |
Ω |
0.27451862421477 |
Real period |
R |
0.86704550696459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582j1 6678l1 |
Quadratic twists by: -3 -7 |