Atkin-Lehner |
5- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129115n |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1757090011915 = -1 · 5 · 74 · 173 · 313 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ -3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1405,60939] |
[a1,a2,a3,a4,a6] |
Generators |
[23:325:1] |
Generators of the group modulo torsion |
j |
127658983424/731815915 |
j-invariant |
L |
3.705528957704 |
L(r)(E,1)/r! |
Ω |
0.60537486502317 |
Real period |
R |
0.68011651537097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999041147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129115g2 |
Quadratic twists by: -7 |