Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222bx |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
78825600 |
Modular degree for the optimal curve |
Δ |
-6.2981263312236E+28 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2641708739,53638094901187] |
[a1,a2,a3,a4,a6] |
Generators |
[208091:92170642:1] |
Generators of the group modulo torsion |
j |
-400921744371182188137/12384898975268864 |
j-invariant |
L |
6.2807825222935 |
L(r)(E,1)/r! |
Ω |
0.034818404488403 |
Real period |
R |
3.6077371232106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358c1 57222bl1 |
Quadratic twists by: -3 17 |