Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950cm |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
19676160 |
Modular degree for the optimal curve |
Δ |
-9.0766854066912E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34918651,91696321448] |
[a1,a2,a3,a4,a6] |
Generators |
[4432:152696:1] |
Generators of the group modulo torsion |
j |
-52274720610824929/10076806918890 |
j-invariant |
L |
7.2281530072698 |
L(r)(E,1)/r! |
Ω |
0.084937233768813 |
Real period |
R |
0.53187458804541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990bj1 124950o1 |
Quadratic twists by: 5 -7 |