Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926m |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-56741789491856 = -1 · 24 · 7 · 477 |
Discriminant |
Eigenvalues |
2- -3 1 7- -1 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39072,-2984877] |
[a1,a2,a3,a4,a6] |
j |
-611960049/5264 |
j-invariant |
L |
2.7151952512206 |
L(r)(E,1)/r! |
Ω |
0.16969970320118 |
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 |
658f1 |
Quadratic twists by: -47 |