Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394b |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
15450607872 = 28 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139692,20130768] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:6195:1] |
Generators of the group modulo torsion |
j |
11165451838341046875/572244736 |
j-invariant |
L |
2.3784449923133 |
L(r)(E,1)/r! |
Ω |
0.93125828616634 |
Real period |
R |
3.8310182486072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19152bg1 76608m1 2394h3 59850ea1 |
Quadratic twists by: -4 8 -3 5 |