Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
122976bo |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
5832960 |
Modular degree for the optimal curve |
Δ |
2.0769351263602E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11564460,14977222272] |
[a1,a2,a3,a4,a6] |
Generators |
[1573:26047:1] |
Generators of the group modulo torsion |
j |
57281226796200168000/695561371514443 |
j-invariant |
L |
8.3757155890033 |
L(r)(E,1)/r! |
Ω |
0.14747104034701 |
Real period |
R |
0.81136662448116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976bc1 13664g1 |
Quadratic twists by: -4 -3 |