Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525cb |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
3316487322889558125 = 38 · 54 · 73 · 119 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11+ 7 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-720958,-218963981] |
[a1,a2,a3,a4,a6] |
Generators |
[9274:179681:8] |
Generators of the group modulo torsion |
j |
28121600000/2250423 |
j-invariant |
L |
16.285490710405 |
L(r)(E,1)/r! |
Ω |
0.16467275496011 |
Real period |
R |
2.0603350964156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525l1 63525cj1 |
Quadratic twists by: 5 -11 |