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 |
2.562272450496E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187341176,984009496176] |
[a1,a2,a3,a4,a6] |
Generators |
[8258:5346:1] |
Generators of the group modulo torsion |
j |
177526623413833961906064889/625554797484375000000 |
j-invariant |
L |
3.9045427728198 |
L(r)(E,1)/r! |
Ω |
0.081548043511128 |
Real period |
R |
3.9900229439974 |
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 |
10230n4 |
Quadratic twists by: -4 |