Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320y |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-137825862620160 = -1 · 210 · 3 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6000,-594492] |
[a1,a2,a3,a4,a6] |
Generators |
[8612:65667:64] |
Generators of the group modulo torsion |
j |
-23331888216004/134595568965 |
j-invariant |
L |
7.8288265406405 |
L(r)(E,1)/r! |
Ω |
0.24311027638776 |
Real period |
R |
8.0506947885594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160t4 102960z3 |
Quadratic twists by: -4 -3 |