Atkin-Lehner |
2+ 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850m |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
8615116800000000 = 220 · 33 · 58 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-282400,57472000] |
[a1,a2,a3,a4,a6] |
Generators |
[50992159680:-91025731040:156590819] |
Generators of the group modulo torsion |
j |
159404349062435329/551367475200 |
j-invariant |
L |
5.2401224561235 |
L(r)(E,1)/r! |
Ω |
0.41447383135087 |
Real period |
R |
12.642830747244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999183084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370t1 |
Quadratic twists by: 5 |