Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760y |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.6834247904844E+23 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35242580,84308864900] |
[a1,a2,a3,a4,a6] |
Generators |
[4360:-116250:1] |
Generators of the group modulo torsion |
j |
-160730613290050429264/8909661865234375 |
j-invariant |
L |
9.647232848811 |
L(r)(E,1)/r! |
Ω |
0.096729901034714 |
Real period |
R |
0.59365309422711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520w1 8680k1 |
Quadratic twists by: -4 -7 |