Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710u |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
248 |
Product of Tamagawa factors cp |
deg |
64281600 |
Modular degree for the optimal curve |
Δ |
-5.6706193381917E+28 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 11+ 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1372381278,-22675533631763] |
[a1,a2,a3,a4,a6] |
Generators |
[1371171:167064401:27] |
Generators of the group modulo torsion |
j |
-6076121652651798651688569/1205338112000000000000 |
j-invariant |
L |
13.57238394615 |
L(r)(E,1)/r! |
Ω |
0.012271011574752 |
Real period |
R |
4.4598894140204 |
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 |
2090c1 |
Quadratic twists by: -19 |