Atkin-Lehner |
2+ 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
46376d |
Isogeny class |
Conductor |
46376 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
412158723328 = 28 · 11 · 173 · 313 |
Discriminant |
Eigenvalues |
2+ 3 0 1 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-358180,-82508764] |
[a1,a2,a3,a4,a6] |
Generators |
[-9330:62:27] |
Generators of the group modulo torsion |
j |
19851244717002624000/1609995013 |
j-invariant |
L |
10.978364187473 |
L(r)(E,1)/r! |
Ω |
0.19515254699417 |
Real period |
R |
1.5626470956181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92752f1 |
Quadratic twists by: -4 |