Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394a |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
51856228240488 = 23 · 39 · 7 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11922,364940] |
[a1,a2,a3,a4,a6] |
Generators |
[179:1896:1] |
Generators of the group modulo torsion |
j |
9521387989875/2634569336 |
j-invariant |
L |
2.454843576762 |
L(r)(E,1)/r! |
Ω |
0.58913112484024 |
Real period |
R |
1.3889627584621 |
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 |
19152bd4 76608h4 2394g2 59850ds4 |
Quadratic twists by: -4 8 -3 5 |