Atkin-Lehner |
5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60515h |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-2.2533933319092E+19 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,138395,227482303] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:39062:1] |
Generators of the group modulo torsion |
j |
5982541143307452416/459876190185546875 |
j-invariant |
L |
3.2958372077484 |
L(r)(E,1)/r! |
Ω |
0.16368976211605 |
Real period |
R |
1.3423104640472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60515b2 |
Quadratic twists by: -7 |