Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44652f |
Isogeny class |
Conductor |
44652 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2635200 |
Modular degree for the optimal curve |
Δ |
1.8112200200282E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 -4 -5 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6885090,-6925728339] |
[a1,a2,a3,a4,a6] |
Generators |
[-198495:301401:125] |
Generators of the group modulo torsion |
j |
11767764736/59049 |
j-invariant |
L |
5.2214071065858 |
L(r)(E,1)/r! |
Ω |
0.093229491416053 |
Real period |
R |
1.8668653117024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44652e1 |
Quadratic twists by: 61 |