Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220g |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-8.9877522692632E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33500,-456129848] |
[a1,a2,a3,a4,a6] |
Generators |
[1258:39690:1] |
Generators of the group modulo torsion |
j |
2817220784/60901334325 |
j-invariant |
L |
5.6347543436765 |
L(r)(E,1)/r! |
Ω |
0.088042841650959 |
Real period |
R |
1.7777817146288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660p1 38220x1 |
Quadratic twists by: -3 -7 |