Atkin-Lehner |
3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4389a |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3696 |
Modular degree for the optimal curve |
Δ |
1155048741 = 37 · 7 · 11 · 193 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 11+ 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-434,-2932] |
[a1,a2,a3,a4,a6] |
j |
9061356040192/1155048741 |
j-invariant |
L |
1.0545602947306 |
L(r)(E,1)/r! |
Ω |
1.0545602947306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224cp1 13167k1 109725bl1 30723bb1 |
Quadratic twists by: -4 -3 5 -7 |