Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850a |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-4634296875000 = -1 · 23 · 33 · 510 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1992,-108584] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1196:1] |
Generators of the group modulo torsion |
j |
-3316275/17576 |
j-invariant |
L |
2.9073187236567 |
L(r)(E,1)/r! |
Ω |
0.32164055617402 |
Real period |
R |
4.5195151355288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800ca1 5850bc2 5850bi1 76050dl1 |
Quadratic twists by: -4 -3 5 13 |