Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
39712b |
Isogeny class |
Conductor |
39712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4202030924288 = 29 · 172 · 734 |
Discriminant |
Eigenvalues |
2- -2 0 0 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30208,2008392] |
[a1,a2,a3,a4,a6] |
Generators |
[874:1241:8] |
Generators of the group modulo torsion |
j |
5954345703125000/8207091649 |
j-invariant |
L |
2.2951847369443 |
L(r)(E,1)/r! |
Ω |
0.7777714479883 |
Real period |
R |
0.73774395514255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39712a2 79424l2 |
Quadratic twists by: -4 8 |