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 |
deg |
2222640 |
Modular degree for the optimal curve |
Δ |
-3.6297616975295E+21 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-754371,2909357686] |
[a1,a2,a3,a4,a6] |
Generators |
[421059270:52521755023:27000] |
Generators of the group modulo torsion |
j |
-8235593868673024/629642150271875 |
j-invariant |
L |
4.8271676371927 |
L(r)(E,1)/r! |
Ω |
0.11562628492436 |
Real period |
R |
13.916004307086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60515h1 |
Quadratic twists by: -7 |