Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050r |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
1141440 |
Modular degree for the optimal curve |
Δ |
-7.0101481167339E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 1 -4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32064193,-70013498049] |
[a1,a2,a3,a4,a6] |
Generators |
[7199:265312:1] |
Generators of the group modulo torsion |
j |
-145829251322736028516131385/280405924669357555712 |
j-invariant |
L |
5.6047182900061 |
L(r)(E,1)/r! |
Ω |
0.031718631153231 |
Real period |
R |
1.5232856912834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400bi1 15050l1 105350cq1 |
Quadratic twists by: -4 5 -7 |