Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506r |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
886541832 = 23 · 32 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 11- -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-337,-1924] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:20:1] |
Generators of the group modulo torsion |
j |
5011452097/1054152 |
j-invariant |
L |
3.2478605384038 |
L(r)(E,1)/r! |
Ω |
1.1312300711943 |
Real period |
R |
0.35888593986204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55506bb1 |
Quadratic twists by: 29 |