Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
39672h |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-15709589441685504 = -1 · 211 · 39 · 19 · 295 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -1 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223803,41195574] |
[a1,a2,a3,a4,a6] |
Generators |
[222:1566:1] |
Generators of the group modulo torsion |
j |
-30753898644726/389711831 |
j-invariant |
L |
4.4100198197596 |
L(r)(E,1)/r! |
Ω |
0.39395387289994 |
Real period |
R |
1.1194254259504 |
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 |
79344c1 39672a1 |
Quadratic twists by: -4 -3 |