Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47096c |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
13523903026256 = 24 · 72 · 297 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 0 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6167,-60770] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1855:1] |
Generators of the group modulo torsion |
j |
2725888/1421 |
j-invariant |
L |
4.5599703285088 |
L(r)(E,1)/r! |
Ω |
0.57055044017512 |
Real period |
R |
3.9961149860099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94192l1 1624c1 |
Quadratic twists by: -4 29 |