Atkin-Lehner |
3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125097j |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.1475990429173E+19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-894839,-237645066] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:2674:1] [-2586:35103:8] |
Generators of the group modulo torsion |
j |
673550578985512033/182542906690011 |
j-invariant |
L |
7.8597208881437 |
L(r)(E,1)/r! |
Ω |
0.15837822943946 |
Real period |
R |
24.813135337779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17871a4 |
Quadratic twists by: -7 |