Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525o |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
2486075840325 = 36 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5243,-123157] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:60:1] |
Generators of the group modulo torsion |
j |
359956480/56133 |
j-invariant |
L |
4.5025129063777 |
L(r)(E,1)/r! |
Ω |
0.56693712639961 |
Real period |
R |
0.9927275655463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525cc1 5775b1 |
Quadratic twists by: 5 -11 |