Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296u |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-7785005898007296 = -1 · 28 · 36 · 77 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 5 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-295452,61958412] |
[a1,a2,a3,a4,a6] |
Generators |
[321:441:1] |
Generators of the group modulo torsion |
j |
-15283295882302464/41714923579 |
j-invariant |
L |
6.8880994677881 |
L(r)(E,1)/r! |
Ω |
0.41753478917099 |
Real period |
R |
1.1783619415734 |
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 |
18648e1 4144b1 |
Quadratic twists by: -4 -3 |