Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400bn |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
5287680000 = 211 · 35 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1808,28788] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:180:1] |
Generators of the group modulo torsion |
j |
510915650/4131 |
j-invariant |
L |
6.3715913575655 |
L(r)(E,1)/r! |
Ω |
1.3662084768441 |
Real period |
R |
0.077728392915596 |
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 |
10200be1 81600gy1 61200co1 20400g1 |
Quadratic twists by: -4 8 -3 5 |