Atkin-Lehner |
3+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53025d |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
7046525390625 = 36 · 59 · 72 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5000,-49125] |
[a1,a2,a3,a4,a6] |
j |
885012508801/450977625 |
j-invariant |
L |
2.3975859696629 |
L(r)(E,1)/r! |
Ω |
0.59939649269639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605g1 |
Quadratic twists by: 5 |