Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974h |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-1151064 = -1 · 23 · 33 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 3 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2,-52] |
[a1,a2,a3,a4,a6] |
j |
-73/216 |
j-invariant |
L |
3.7334159951018 |
L(r)(E,1)/r! |
Ω |
1.2444719983677 |
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 |
95922n1 31974i1 |
Quadratic twists by: -3 73 |