Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320y |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-8256362400000000 = -1 · 211 · 38 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50240,-554092] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1188:1] |
Generators of the group modulo torsion |
j |
6847531008289918/4031426953125 |
j-invariant |
L |
7.8288265406405 |
L(r)(E,1)/r! |
Ω |
0.24311027638776 |
Real period |
R |
1.0063368485699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160t6 102960z5 |
Quadratic twists by: -4 -3 |