Atkin-Lehner |
3- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39627g |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-9.8597584308571E+20 |
Discriminant |
Eigenvalues |
0 3- 3 7- -3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1055136,-1567284422] |
[a1,a2,a3,a4,a6] |
Generators |
[41578:8475358:1] |
Generators of the group modulo torsion |
j |
-178205665316766220288/1352504585851453251 |
j-invariant |
L |
6.2401626322303 |
L(r)(E,1)/r! |
Ω |
0.065808376772572 |
Real period |
R |
3.3865438122142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209d1 |
Quadratic twists by: -3 |