Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192h |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-243744194304 = -1 · 28 · 39 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,321,-23650] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3960:1] |
Generators of the group modulo torsion |
j |
19600688/1306071 |
j-invariant |
L |
8.4641712249637 |
L(r)(E,1)/r! |
Ω |
0.47107723644091 |
Real period |
R |
4.4919232790931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096m1 38064b1 |
Quadratic twists by: -4 -3 |