Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126br |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5.7838359715701E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12317139,-16639394409] |
[a1,a2,a3,a4,a6] |
Generators |
[8608586428446809707064352611740564115344225:-7846977968995363625973504612730389774052266072:10371917939079384790379373045058609375] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
5.1944998611451 |
L(r)(E,1)/r! |
Ω |
0.040293482572936 |
Real period |
R |
64.45831347219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014h2 2574h2 |
Quadratic twists by: -3 -7 |