Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756n |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-330511104 = -1 · 28 · 36 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,884] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:9:1] |
Generators of the group modulo torsion |
j |
-65536/1771 |
j-invariant |
L |
5.1562012361308 |
L(r)(E,1)/r! |
Ω |
1.4329165846517 |
Real period |
R |
1.7991979754768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084e1 |
Quadratic twists by: -3 |