Atkin-Lehner |
2+ 3+ 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970b |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1187438360642640000 = 27 · 34 · 54 · 17 · 476 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-885957,316292301] |
[a1,a2,a3,a4,a6] |
j |
76906387117870954078681/1187438360642640000 |
j-invariant |
L |
1.0973886958856 |
L(r)(E,1)/r! |
Ω |
0.27434717397139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910bb2 119850cm2 |
Quadratic twists by: -3 5 |