Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290cl |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
27893242944000000 = 212 · 37 · 56 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88097,-6038031] |
[a1,a2,a3,a4,a6] |
Generators |
[407:-5244:1] |
Generators of the group modulo torsion |
j |
103722964445967049/38262336000000 |
j-invariant |
L |
11.226939590595 |
L(r)(E,1)/r! |
Ω |
0.28571632849228 |
Real period |
R |
0.13643752647851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430d1 |
Quadratic twists by: -3 |