Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848h |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
28068955095564288 = 220 · 33 · 232 · 374 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-579328,169336244] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:15870:1] |
Generators of the group modulo torsion |
j |
5249743344193146625/6852772240128 |
j-invariant |
L |
8.1821208574723 |
L(r)(E,1)/r! |
Ω |
0.37316404453997 |
Real period |
R |
3.654389616393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5106c2 122544be2 |
Quadratic twists by: -4 -3 |