Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226d |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
125947104248460978 = 2 · 36 · 712 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-408685,-99271661] |
[a1,a2,a3,a4,a6] |
Generators |
[3051:162992:1] |
Generators of the group modulo torsion |
j |
64165742871063625/1070532722322 |
j-invariant |
L |
3.0292130842332 |
L(r)(E,1)/r! |
Ω |
0.18901298902577 |
Real period |
R |
4.0066202590714 |
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 |
69678bg2 3318f2 |
Quadratic twists by: -3 -7 |