Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366k |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
892068365944 = 23 · 78 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40439758,-98972964420] |
[a1,a2,a3,a4,a6] |
Generators |
[30879965546719464269:1701192500178272704079:3473067304217519] |
Generators of the group modulo torsion |
j |
62167173500157644301993/7582456 |
j-invariant |
L |
3.9865566775659 |
L(r)(E,1)/r! |
Ω |
0.059868367675499 |
Real period |
R |
33.294349188152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338d2 |
Quadratic twists by: -7 |