Atkin-Lehner |
3- 5- 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
75555f |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
197637120 |
Modular degree for the optimal curve |
Δ |
-9.4385337591362E+27 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 6 -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21137697327,1182872722023360] |
[a1,a2,a3,a4,a6] |
j |
-1432746012722358180608845217910784/12947234237498226916321875 |
j-invariant |
L |
1.4763948238041 |
L(r)(E,1)/r! |
Ω |
0.03690987032928 |
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 |
25185e1 |
Quadratic twists by: -3 |