Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bk |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
240312996129024000 = 211 · 34 · 53 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545168,-152945568] |
[a1,a2,a3,a4,a6] |
Generators |
[-454:882:1] [-398:910:1] |
Generators of the group modulo torsion |
j |
69996384990422602/938722641129 |
j-invariant |
L |
10.360757175124 |
L(r)(E,1)/r! |
Ω |
0.17584068390185 |
Real period |
R |
1.227526548762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600cq2 109200cd2 |
Quadratic twists by: -4 5 |