Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640z |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-14054400000 = -1 · 213 · 32 · 55 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,520,-3600] |
[a1,a2,a3,a4,a6] |
Generators |
[20:120:1] |
Generators of the group modulo torsion |
j |
3789119879/3431250 |
j-invariant |
L |
4.7699334134193 |
L(r)(E,1)/r! |
Ω |
0.68733272869044 |
Real period |
R |
0.17349433594219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830e1 58560dp1 43920bm1 73200cj1 |
Quadratic twists by: -4 8 -3 5 |