Atkin-Lehner |
3+ 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025f |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
10234773650390625 = 32 · 59 · 78 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79188,7029156] |
[a1,a2,a3,a4,a6] |
Generators |
[-730:29761:8] |
Generators of the group modulo torsion |
j |
3514650558604921/655025513625 |
j-invariant |
L |
3.339157843404 |
L(r)(E,1)/r! |
Ω |
0.38671087313238 |
Real period |
R |
2.1586914639607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10605h1 |
Quadratic twists by: 5 |