Atkin-Lehner |
5- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475q |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3758400 |
Modular degree for the optimal curve |
Δ |
-257173551061328125 = -1 · 58 · 73 · 193 · 234 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 2 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80160805,276262999322] |
[a1,a2,a3,a4,a6] |
Generators |
[5144:590:1] |
Generators of the group modulo torsion |
j |
-145831009431741512663745/658364290717 |
j-invariant |
L |
2.6841698695061 |
L(r)(E,1)/r! |
Ω |
0.20977998157688 |
Real period |
R |
1.0662639057265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475h1 |
Quadratic twists by: 5 |