Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312ce |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10775804705243136 = -1 · 221 · 34 · 13 · 474 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8991,4980609] |
[a1,a2,a3,a4,a6] |
Generators |
[576:14175:1] |
Generators of the group modulo torsion |
j |
306591054407/41106432744 |
j-invariant |
L |
3.3970404185853 |
L(r)(E,1)/r! |
Ω |
0.31160566535342 |
Real period |
R |
5.4508642862346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312bj3 29328o3 |
Quadratic twists by: -4 8 |