Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24321m |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
95423266806791913 = 35 · 117 · 674 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1736292,-880626537] |
[a1,a2,a3,a4,a6] |
Generators |
[4176522:2894529:2744] |
Generators of the group modulo torsion |
j |
326765283429753433/53863946433 |
j-invariant |
L |
5.2133486991747 |
L(r)(E,1)/r! |
Ω |
0.13152192541895 |
Real period |
R |
7.9277256359624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72963j4 2211e3 |
Quadratic twists by: -3 -11 |