Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226f |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25687956 = 22 · 3 · 73 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-459,-3975] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:9:1] |
Generators of the group modulo torsion |
j |
31285651951/74892 |
j-invariant |
L |
3.6467647579312 |
L(r)(E,1)/r! |
Ω |
1.0313016798251 |
Real period |
R |
1.7680397643441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69678bn2 23226p2 |
Quadratic twists by: -3 -7 |