Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394h |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
152244125171712 = 224 · 33 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16910,-599011] |
[a1,a2,a3,a4,a6] |
j |
19804628171203875/5638671302656 |
j-invariant |
L |
3.4218198459993 |
L(r)(E,1)/r! |
Ω |
0.42772748074991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19152bh1 76608n1 2394b3 59850m1 |
Quadratic twists by: -4 8 -3 5 |