Atkin-Lehner |
2- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688bi |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-44395978031104 = -1 · 223 · 7 · 293 · 31 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 3 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58336,5413236] |
[a1,a2,a3,a4,a6] |
Generators |
[132:174:1] |
Generators of the group modulo torsion |
j |
-5360201917525729/10838861824 |
j-invariant |
L |
5.0341535712243 |
L(r)(E,1)/r! |
Ω |
0.64103280990333 |
Real period |
R |
1.3088652918329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586g1 |
Quadratic twists by: -4 |