Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9840d |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
29520 = 24 · 32 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-615,-5670] |
[a1,a2,a3,a4,a6] |
Generators |
[17032:50105:512] |
Generators of the group modulo torsion |
j |
1610404796416/1845 |
j-invariant |
L |
3.8411749267878 |
L(r)(E,1)/r! |
Ω |
0.95856589710869 |
Real period |
R |
8.0144201632332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4920c1 39360co1 29520f1 49200ba1 |
Quadratic twists by: -4 8 -3 5 |