Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760w |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
4.6153893975062E+22 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19185280,30654860972] |
[a1,a2,a3,a4,a6] |
Generators |
[1909:31360:1] |
Generators of the group modulo torsion |
j |
3241230881441497058/191553528228125 |
j-invariant |
L |
5.220281769547 |
L(r)(E,1)/r! |
Ω |
0.11166784847069 |
Real period |
R |
4.674829721448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520k1 8680i1 |
Quadratic twists by: -4 -7 |