Atkin-Lehner |
2- 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850bo |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2641920 |
Modular degree for the optimal curve |
Δ |
-6160420195312500 = -1 · 22 · 38 · 510 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12649388,-17321462719] |
[a1,a2,a3,a4,a6] |
Generators |
[757894769369637876:62095930714686005023:88979364241984] |
Generators of the group modulo torsion |
j |
-22920928855185020425/630827028 |
j-invariant |
L |
8.5180615720186 |
L(r)(E,1)/r! |
Ω |
0.040026920589206 |
Real period |
R |
26.601039521123 |
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 |
83850bi1 |
Quadratic twists by: 5 |