Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760x |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.619536439159E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2074480,846984972] |
[a1,a2,a3,a4,a6] |
Generators |
[-1398:277605:8] |
Generators of the group modulo torsion |
j |
4097637027723458/1087192009225 |
j-invariant |
L |
9.9975649964723 |
L(r)(E,1)/r! |
Ω |
0.16316412810793 |
Real period |
R |
5.1060881212889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520v2 8680j2 |
Quadratic twists by: -4 -7 |