Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840y |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-12175293242787840 = -1 · 211 · 320 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,53064,2476980] |
[a1,a2,a3,a4,a6] |
Generators |
[36:2106:1] [180:4230:1] |
Generators of the group modulo torsion |
j |
8068364842809742/5944967403705 |
j-invariant |
L |
11.023301225292 |
L(r)(E,1)/r! |
Ω |
0.25566604057306 |
Real period |
R |
4.3116016506023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920c3 |
Quadratic twists by: -4 |