Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dj |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-9.35444495232E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60048,147043296] |
[a1,a2,a3,a4,a6] |
Generators |
[897:30375:1] |
Generators of the group modulo torsion |
j |
74251994112/29007265625 |
j-invariant |
L |
6.9758058139444 |
L(r)(E,1)/r! |
Ω |
0.17903506784024 |
Real period |
R |
2.7830963501405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440r1 9360d1 37440cz1 |
Quadratic twists by: -4 8 -3 |