Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dr |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
140109105240000 = 26 · 313 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57658143,168515203808] |
[a1,a2,a3,a4,a6] |
Generators |
[33699904591622:-1509599882302175:4930360408] |
Generators of the group modulo torsion |
j |
454357982636417669333824/3003024375 |
j-invariant |
L |
6.0865444393124 |
L(r)(E,1)/r! |
Ω |
0.28470265780763 |
Real period |
R |
21.37860069935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440du1 18720bq3 12480cc1 |
Quadratic twists by: -4 8 -3 |