Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325m |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
40374922092578125 = 58 · 133 · 196 |
Discriminant |
Eigenvalues |
0 -1 5- -4 -6 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-481333,128330068] |
[a1,a2,a3,a4,a6] |
Generators |
[488:3068:1] |
Generators of the group modulo torsion |
j |
671088640/2197 |
j-invariant |
L |
2.0519611130301 |
L(r)(E,1)/r! |
Ω |
0.36433265164299 |
Real period |
R |
2.8160544742217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996369401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325h2 325a2 |
Quadratic twists by: 5 -19 |