Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bt |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9053262839808000000 = 224 · 33 · 56 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187182456,985764812400] |
[a1,a2,a3,a4,a6] |
Generators |
[7738:24750:1] |
Generators of the group modulo torsion |
j |
177075790969525467816444409/2210269248000000 |
j-invariant |
L |
3.9045427728198 |
L(r)(E,1)/r! |
Ω |
0.16309608702226 |
Real period |
R |
1.9950114719987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230n3 |
Quadratic twists by: -4 |