Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bi |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
31830400000000 = 213 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33187,-2311134] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:126:1] [-103:120:1] |
Generators of the group modulo torsion |
j |
2877223707567/22656250 |
j-invariant |
L |
12.396461056231 |
L(r)(E,1)/r! |
Ω |
0.35388631895199 |
Real period |
R |
2.1893437942326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210f2 113680y2 |
Quadratic twists by: -4 -7 |