Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585ba |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-20991686945355 = -1 · 39 · 5 · 78 · 37 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -2 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6762,307242] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:661:1] |
Generators of the group modulo torsion |
j |
-398688256/244755 |
j-invariant |
L |
5.299055723015 |
L(r)(E,1)/r! |
Ω |
0.63065886853213 |
Real period |
R |
1.0503015153448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27195o1 11655d1 |
Quadratic twists by: -3 -7 |