Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840cy |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19911868416000000 = 222 · 34 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2704696,1711172180] |
[a1,a2,a3,a4,a6] |
Generators |
[572:18750:1] |
Generators of the group modulo torsion |
j |
534218964214745686969/4861296000000 |
j-invariant |
L |
7.2250396480115 |
L(r)(E,1)/r! |
Ω |
0.34690784231285 |
Real period |
R |
2.6033714016556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230a2 |
Quadratic twists by: -4 |