Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3900d |
Isogeny class |
Conductor |
3900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34222500000000 = -1 · 28 · 34 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8092,24312] |
[a1,a2,a3,a4,a6] |
Generators |
[497:11250:1] |
Generators of the group modulo torsion |
j |
14647977776/8555625 |
j-invariant |
L |
3.1319150657442 |
L(r)(E,1)/r! |
Ω |
0.39567831164412 |
Real period |
R |
1.9788265957328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600ck2 62400cj2 11700p2 780c2 |
Quadratic twists by: -4 8 -3 5 |