Atkin-Lehner |
2+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39886k |
Isogeny class |
Conductor |
39886 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-46350882424 = -1 · 23 · 76 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,269,-10107] |
[a1,a2,a3,a4,a6] |
j |
18191447/393976 |
j-invariant |
L |
3.3033265891151 |
L(r)(E,1)/r! |
Ω |
0.5505544315149 |
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 |
814a1 |
Quadratic twists by: -7 |