Atkin-Lehner |
5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525p |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
624919203125 = 56 · 73 · 17 · 193 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- -6 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5675,-160094] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:66:1] |
Generators of the group modulo torsion |
j |
1293603803136/39994829 |
j-invariant |
L |
2.0141147746125 |
L(r)(E,1)/r! |
Ω |
0.55109944079347 |
Real period |
R |
0.40608012629381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261c1 |
Quadratic twists by: 5 |