Atkin-Lehner |
3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3735d |
Isogeny class |
Conductor |
3735 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
-37816875 = -1 · 36 · 54 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 -3 -6 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-983,12106] |
[a1,a2,a3,a4,a6] |
Generators |
[20:2:1] |
Generators of the group modulo torsion |
j |
-143960212521/51875 |
j-invariant |
L |
2.0478766948218 |
L(r)(E,1)/r! |
Ω |
2.0134334271351 |
Real period |
R |
0.50855336640947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59760y1 415a1 18675f1 |
Quadratic twists by: -4 -3 5 |