Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800n |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.1308740727328E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4952875,4245704250] |
[a1,a2,a3,a4,a6] |
Generators |
[609:38148:1] |
Generators of the group modulo torsion |
j |
-419899962807227250/353398147729 |
j-invariant |
L |
4.1648191592758 |
L(r)(E,1)/r! |
Ω |
0.22529749342033 |
Real period |
R |
0.38512219770762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37400p2 2992b2 |
Quadratic twists by: -4 5 |