Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cc |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-411034311204940800 = -1 · 210 · 39 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-334632,-80640056] |
[a1,a2,a3,a4,a6] |
Generators |
[2067674857804:47238823962135:2156689088] |
Generators of the group modulo torsion |
j |
-5551350318708736/550618236675 |
j-invariant |
L |
5.7098735091874 |
L(r)(E,1)/r! |
Ω |
0.098694195462446 |
Real period |
R |
14.463549458082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ew1 4680f1 12480t1 |
Quadratic twists by: -4 8 -3 |