Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416k |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2759680 |
Modular degree for the optimal curve |
Δ |
-1.1099121728651E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -3 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8976876,10353519472] |
[a1,a2,a3,a4,a6] |
Generators |
[215905:141171:125] |
Generators of the group modulo torsion |
j |
-90424411632287643672/12545122758259 |
j-invariant |
L |
7.596680490956 |
L(r)(E,1)/r! |
Ω |
0.21919911175497 |
Real period |
R |
8.6641323841756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416v1 26208bc1 52416l1 |
Quadratic twists by: -4 8 -3 |