Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114r |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-20209145915994 = -1 · 2 · 3 · 76 · 315 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68356,6853727] |
[a1,a2,a3,a4,a6] |
Generators |
[1070:2303:8] |
Generators of the group modulo torsion |
j |
-300238092661681/171774906 |
j-invariant |
L |
5.1007789352818 |
L(r)(E,1)/r! |
Ω |
0.6754576246242 |
Real period |
R |
3.7757949198661 |
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 |
72912cx2 27342f2 186b2 |
Quadratic twists by: -4 -3 -7 |