Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525bb |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3104640 |
Modular degree for the optimal curve |
Δ |
6.8268913428136E+21 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6544083,5073237443] |
[a1,a2,a3,a4,a6] |
Generators |
[-2097:97828:1] |
Generators of the group modulo torsion |
j |
33649295360/7411887 |
j-invariant |
L |
4.6951758955524 |
L(r)(E,1)/r! |
Ω |
0.12553958811956 |
Real period |
R |
1.3357129485908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525bg1 63525w1 |
Quadratic twists by: 5 -11 |