Atkin-Lehner |
2- 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65424j |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-10853056512 = -1 · 215 · 35 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 3 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,472,3252] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:48:1] |
Generators of the group modulo torsion |
j |
2833148375/2649672 |
j-invariant |
L |
7.4645994916257 |
L(r)(E,1)/r! |
Ω |
0.83835525058217 |
Real period |
R |
0.44519310195021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8178a1 |
Quadratic twists by: -4 |