Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15939j |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-82639395531 = -1 · 36 · 7 · 113 · 233 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1086,1242] |
[a1,a2,a3,a4,a6] |
Generators |
[2:58:1] |
Generators of the group modulo torsion |
j |
194305753088/113359939 |
j-invariant |
L |
3.188348223757 |
L(r)(E,1)/r! |
Ω |
0.6532498668445 |
Real period |
R |
2.4403741857294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1771c2 111573bl2 |
Quadratic twists by: -3 -7 |