Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394i |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
293197968 = 24 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488,-3941] |
[a1,a2,a3,a4,a6] |
j |
651714363/14896 |
j-invariant |
L |
4.0693827540469 |
L(r)(E,1)/r! |
Ω |
1.0173456885117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152bi1 76608t1 2394c1 59850h1 |
Quadratic twists by: -4 8 -3 5 |