Atkin-Lehner |
5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60515b |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-2.6510947210578E+24 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6781339,-78039992705] |
[a1,a2,a3,a4,a6] |
Generators |
[4475:204795:1] |
Generators of the group modulo torsion |
j |
5982541143307452416/459876190185546875 |
j-invariant |
L |
4.8271676371927 |
L(r)(E,1)/r! |
Ω |
0.038542094974787 |
Real period |
R |
4.6386681023621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60515h2 |
Quadratic twists by: -7 |