Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520bk |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-755587440 = -1 · 24 · 34 · 5 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-306,-2349] |
[a1,a2,a3,a4,a6] |
Generators |
[513:11601:1] |
Generators of the group modulo torsion |
j |
-198694799104/47224215 |
j-invariant |
L |
5.8165762878834 |
L(r)(E,1)/r! |
Ω |
0.56349834311812 |
Real period |
R |
5.161129895228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19380l1 |
Quadratic twists by: -4 |