Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
651d |
Isogeny class |
Conductor |
651 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9341138457 = 316 · 7 · 31 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1294,17195] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:140:1] |
Generators of the group modulo torsion |
j |
239633492476897/9341138457 |
j-invariant |
L |
1.5714303035313 |
L(r)(E,1)/r! |
Ω |
1.2854998192139 |
Real period |
R |
0.30560686980341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416u3 41664s3 1953d3 16275a4 |
Quadratic twists by: -4 8 -3 5 |