Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bg |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-15398859375 = -1 · 34 · 56 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1713,27792] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-45:1] |
Generators of the group modulo torsion |
j |
-2924207/81 |
j-invariant |
L |
3.4462323812895 |
L(r)(E,1)/r! |
Ω |
1.239799771608 |
Real period |
R |
0.69491712698477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119025bd1 1587a1 39675bf1 |
Quadratic twists by: -3 5 -23 |