Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300ba |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
501120 |
Modular degree for the optimal curve |
Δ |
-3355951500000000 = -1 · 28 · 39 · 59 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17667,2642463] |
[a1,a2,a3,a4,a6] |
Generators |
[333:6750:1] |
Generators of the group modulo torsion |
j |
1219600384/6711903 |
j-invariant |
L |
9.9561315657551 |
L(r)(E,1)/r! |
Ω |
0.32210980456177 |
Real period |
R |
0.57239116576928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102300n1 |
Quadratic twists by: 5 |