Atkin-Lehner |
2- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
25228d |
Isogeny class |
Conductor |
25228 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
679104 |
Modular degree for the optimal curve |
Δ |
1.8929727727252E+20 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3501965,-2432835527] |
[a1,a2,a3,a4,a6] |
Generators |
[-122205:930902:125] |
Generators of the group modulo torsion |
j |
18553219155738649010176/739442489345764309 |
j-invariant |
L |
4.182607804265 |
L(r)(E,1)/r! |
Ω |
0.11063368269112 |
Real period |
R |
6.3009861350915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912w1 |
Quadratic twists by: -4 |