Atkin-Lehner |
2- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9394g |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
1863908931808 = 25 · 72 · 117 · 61 |
Discriminant |
Eigenvalues |
2- -3 4 7+ 11+ 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77193,-8235351] |
[a1,a2,a3,a4,a6] |
j |
50868882401831553249/1863908931808 |
j-invariant |
L |
2.8642206343586 |
L(r)(E,1)/r! |
Ω |
0.28642206343586 |
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 |
75152r1 84546q1 65758s1 103334u1 |
Quadratic twists by: -4 -3 -7 -11 |