Atkin-Lehner |
2+ 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30222b |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-1586292336 = -1 · 24 · 310 · 23 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,207,1485] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] [6:321:8] |
Generators of the group modulo torsion |
j |
1341919727/2175984 |
j-invariant |
L |
5.4940010830635 |
L(r)(E,1)/r! |
Ω |
1.0255912775128 |
Real period |
R |
2.678455444935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074r1 |
Quadratic twists by: -3 |