Atkin-Lehner |
2- 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25116g |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
963072 |
Modular degree for the optimal curve |
Δ |
-1.9068064262681E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2840677,1957967480] |
[a1,a2,a3,a4,a6] |
j |
-158441683103908765892608/11917540164175748739 |
j-invariant |
L |
3.8712685466719 |
L(r)(E,1)/r! |
Ω |
0.17596675212145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464y1 75348j1 |
Quadratic twists by: -4 -3 |