Atkin-Lehner |
2+ 5- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16430b |
Isogeny class |
Conductor |
16430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-1393264000000 = -1 · 210 · 56 · 31 · 532 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,481,56525] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:147:1] |
Generators of the group modulo torsion |
j |
12292804122039/1393264000000 |
j-invariant |
L |
3.1830993780814 |
L(r)(E,1)/r! |
Ω |
0.6558828127196 |
Real period |
R |
0.80885876672663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82150k1 |
Quadratic twists by: 5 |