Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680x |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-27231621120 = -1 · 212 · 33 · 5 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616,-9680] |
[a1,a2,a3,a4,a6] |
j |
-6321363049/6648345 |
j-invariant |
L |
0.91970767552798 |
L(r)(E,1)/r! |
Ω |
0.4598538205242 |
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 |
6105i1 |
Quadratic twists by: -4 |