Atkin-Lehner |
2+ 3- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646l |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
46933952571792 = 24 · 312 · 114 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52983,-4669299] |
[a1,a2,a3,a4,a6] |
Generators |
[-17205:13467:125] |
Generators of the group modulo torsion |
j |
22563705894034033/64381279248 |
j-invariant |
L |
3.9715722394641 |
L(r)(E,1)/r! |
Ω |
0.31473099840121 |
Real period |
R |
6.3094710406341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24882bo1 |
Quadratic twists by: -3 |