Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bn |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-6.084472260528E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -5 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6712133,-6795441363] |
[a1,a2,a3,a4,a6] |
j |
-522547125460258816/9506987907075 |
j-invariant |
L |
0.18738968904772 |
L(r)(E,1)/r! |
Ω |
0.046847422442886 |
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 |
3225i1 10320bf1 |
Quadratic twists by: -4 5 |