Atkin-Lehner |
2+ 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57722b |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-2696326687936 = -1 · 26 · 74 · 19 · 314 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -5 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5399,173277] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:514:1] [38:129:1] |
Generators of the group modulo torsion |
j |
-7249645675881/1123001536 |
j-invariant |
L |
7.3510815748301 |
L(r)(E,1)/r! |
Ω |
0.78030286237612 |
Real period |
R |
2.355201399765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57722h1 |
Quadratic twists by: -7 |