Atkin-Lehner |
3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
9243a |
Isogeny class |
Conductor |
9243 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-2190591 = -1 · 33 · 13 · 792 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78,295] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] [6:1:1] |
Generators of the group modulo torsion |
j |
-1957816251/81133 |
j-invariant |
L |
6.1436218973417 |
L(r)(E,1)/r! |
Ω |
2.5799960892534 |
Real period |
R |
2.3812524069057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9243b1 120159d1 |
Quadratic twists by: -3 13 |