Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bg |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
-543643358265017712 = -1 · 24 · 310 · 132 · 237 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-740435,-247600029] |
[a1,a2,a3,a4,a6] |
Generators |
[17406805:6486819294:125] |
Generators of the group modulo torsion |
j |
-415996269625/5037552 |
j-invariant |
L |
11.988066616559 |
L(r)(E,1)/r! |
Ω |
0.081317630085073 |
Real period |
R |
9.2139203084393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262a1 5382n1 |
Quadratic twists by: -3 -23 |