Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525c |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22176000 |
Modular degree for the optimal curve |
Δ |
9.2543872107852E+24 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1039793333,12904832992193] |
[a1,a2,a3,a4,a6] |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
0.55560993156857 |
L(r)(E,1)/r! |
Ω |
0.06945124131101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525ck1 5775g1 |
Quadratic twists by: 5 -11 |