Atkin-Lehner |
2- 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bz |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-6660450000000 = -1 · 27 · 32 · 58 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1862,121031] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-993:1] |
Generators of the group modulo torsion |
j |
1827629375/17050752 |
j-invariant |
L |
11.692565568857 |
L(r)(E,1)/r! |
Ω |
0.54990247466292 |
Real period |
R |
0.25313071975482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850y1 |
Quadratic twists by: 5 |