Atkin-Lehner |
2+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15470f |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
15805440 |
Modular degree for the optimal curve |
Δ |
2.1055603285485E+28 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1728361712,-26761740538624] |
[a1,a2,a3,a4,a6] |
Generators |
[17197771620607200:5388166662060696976:148961285901] |
Generators of the group modulo torsion |
j |
570988844277383801036805498606601/21055603285485075353871319040 |
j-invariant |
L |
5.5198431339872 |
L(r)(E,1)/r! |
Ω |
0.023467943857389 |
Real period |
R |
16.800556195569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bu1 77350bg1 108290i1 |
Quadratic twists by: -4 5 -7 |