Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2196a |
Isogeny class |
Conductor |
2196 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
307369728 = 28 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8775,-316386] |
[a1,a2,a3,a4,a6] |
Generators |
[115:442:1] |
Generators of the group modulo torsion |
j |
14829750000/61 |
j-invariant |
L |
3.1122073482363 |
L(r)(E,1)/r! |
Ω |
0.4932736090095 |
Real period |
R |
4.2061948195251 |
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 |
8784l2 35136b2 2196b2 54900a2 |
Quadratic twists by: -4 8 -3 5 |