Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126dt |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
3.1342653400626E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-720362999,7393024785871] |
[a1,a2,a3,a4,a6] |
Generators |
[22115:1498142:1] |
Generators of the group modulo torsion |
j |
17852472442400800381659/135349366545096704 |
j-invariant |
L |
13.440647499896 |
L(r)(E,1)/r! |
Ω |
0.054679897924187 |
Real period |
R |
4.7270386380821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126w2 18018y2 |
Quadratic twists by: -3 -7 |