Atkin-Lehner |
2+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770l |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-62695152100000000 = -1 · 28 · 58 · 76 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20326,11990068] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:2974:1] |
Generators of the group modulo torsion |
j |
7893674555031/532900000000 |
j-invariant |
L |
4.0818199048896 |
L(r)(E,1)/r! |
Ω |
0.2668280393914 |
Real period |
R |
0.95609795971019 |
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 |
730a2 |
Quadratic twists by: -7 |