Atkin-Lehner |
2- 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41652a |
Isogeny class |
Conductor |
41652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
952782590433024 = 28 · 33 · 133 · 894 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -6 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27231,886550] |
[a1,a2,a3,a4,a6] |
Generators |
[22:546:1] |
Generators of the group modulo torsion |
j |
323080505078256/137844703477 |
j-invariant |
L |
3.7916979743282 |
L(r)(E,1)/r! |
Ω |
0.44759933171283 |
Real period |
R |
2.8237292489671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41652b2 |
Quadratic twists by: -3 |