Atkin-Lehner |
3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181i |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8290294765318160217 = 316 · 7 · 317 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1243554,-515986890] |
[a1,a2,a3,a4,a6] |
Generators |
[373574982:-2491302659:287496] |
Generators of the group modulo torsion |
j |
239633492476897/9341138457 |
j-invariant |
L |
2.2856585486117 |
L(r)(E,1)/r! |
Ω |
0.14330956551655 |
Real period |
R |
15.949099701567 |
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 |
60543p3 651d4 |
Quadratic twists by: -3 -31 |