Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974i |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
473040 |
Modular degree for the optimal curve |
Δ |
-174195379849121496 = -1 · 23 · 33 · 738 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -3 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8105,-20083228] |
[a1,a2,a3,a4,a6] |
j |
-73/216 |
j-invariant |
L |
1.3108898730816 |
L(r)(E,1)/r! |
Ω |
0.14565443034242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95922m1 31974h1 |
Quadratic twists by: -3 73 |