Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
74200p |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-925332914800 = -1 · 24 · 52 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 5 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1232,42777] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:2809:27] |
Generators of the group modulo torsion |
j |
516586776320/2313332287 |
j-invariant |
L |
9.7759012917845 |
L(r)(E,1)/r! |
Ω |
0.6330411333917 |
Real period |
R |
3.860689604341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200k1 |
Quadratic twists by: 5 |