Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998h |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2568779630672859648 = -1 · 29 · 312 · 116 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,196259,69488120] |
[a1,a2,a3,a4,a6] |
Generators |
[340:-13420:1] |
Generators of the group modulo torsion |
j |
471910376801375/1450009133568 |
j-invariant |
L |
5.0213625479812 |
L(r)(E,1)/r! |
Ω |
0.18107734930849 |
Real period |
R |
1.1554368356804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438a2 |
Quadratic twists by: -11 |