Atkin-Lehner |
2+ 3- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430n |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
15201562500 = 22 · 32 · 58 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1273,16328] |
[a1,a2,a3,a4,a6] |
Generators |
[9:70:1] |
Generators of the group modulo torsion |
j |
227886404194441/15201562500 |
j-invariant |
L |
5.6536549593953 |
L(r)(E,1)/r! |
Ω |
1.2217402708785 |
Real period |
R |
0.57844280553696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290w1 |
Quadratic twists by: -3 |