Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525ck |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
4435200 |
Modular degree for the optimal curve |
Δ |
5.9228078149025E+20 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-41591733,103222027244] |
[a1,a2,a3,a4,a6] |
Generators |
[8202:560290:1] |
Generators of the group modulo torsion |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
6.1007386995008 |
L(r)(E,1)/r! |
Ω |
0.15529769669316 |
Real period |
R |
0.14030055152553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525c1 5775w1 |
Quadratic twists by: 5 -11 |