Atkin-Lehner |
2+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55738a |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2440320 |
Modular degree for the optimal curve |
Δ |
11476501799806096 = 24 · 292 · 318 |
Discriminant |
Eigenvalues |
2+ 1 3 -5 3 3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6468992,-6333442178] |
[a1,a2,a3,a4,a6] |
Generators |
[-383105916225:202729348529:260917119] |
Generators of the group modulo torsion |
j |
35102650265977/13456 |
j-invariant |
L |
5.6417911599051 |
L(r)(E,1)/r! |
Ω |
0.094665213606929 |
Real period |
R |
14.899325066046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738i1 |
Quadratic twists by: -31 |