Atkin-Lehner |
2+ 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290b |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-1688310000 = -1 · 24 · 33 · 54 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,291,-587] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-85:1] |
Generators of the group modulo torsion |
j |
100739353077/62530000 |
j-invariant |
L |
4.9743552095982 |
L(r)(E,1)/r! |
Ω |
0.86246621136518 |
Real period |
R |
0.72094928822234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43290bd1 |
Quadratic twists by: -3 |