Atkin-Lehner |
2+ 3+ 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430g |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
398499840000 = 216 · 32 · 54 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6422,-198444] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:44:1] |
Generators of the group modulo torsion |
j |
29298155334152041/398499840000 |
j-invariant |
L |
3.735128189074 |
L(r)(E,1)/r! |
Ω |
0.53374115381596 |
Real period |
R |
1.7495035572814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290be1 |
Quadratic twists by: -3 |