Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36100g |
Isogeny class |
Conductor |
36100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
4.789895513907E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8315033,-8604352438] |
[a1,a2,a3,a4,a6] |
Generators |
[6260338815657:-871515565671025:315821241] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
8.0723796542873 |
L(r)(E,1)/r! |
Ω |
0.089330061083912 |
Real period |
R |
15.060961480639 |
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 |
7220d1 1900a1 |
Quadratic twists by: 5 -19 |