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 |
Δ |
360477 = 33 · 132 · 79 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1263,17596] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:74:1] [20:-4:1] |
Generators of the group modulo torsion |
j |
8255880653931/13351 |
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 |
9243b2 120159d2 |
Quadratic twists by: -3 13 |