Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bm |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-9.6366058422642E+18 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-279824,-159782997] |
[a1,a2,a3,a4,a6] |
Generators |
[9899620:-302968281:8000] |
Generators of the group modulo torsion |
j |
-82369655551/327577608 |
j-invariant |
L |
11.472933403815 |
L(r)(E,1)/r! |
Ω |
0.094733771889244 |
Real period |
R |
10.092259228478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226h2 69678bq2 |
Quadratic twists by: -3 -7 |