Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150db |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93696 |
Modular degree for the optimal curve |
Δ |
-3067267500 = -1 · 22 · 38 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2592,51516] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-6:1] |
Generators of the group modulo torsion |
j |
-4227809425/6732 |
j-invariant |
L |
6.2301433640628 |
L(r)(E,1)/r! |
Ω |
1.4216473519053 |
Real period |
R |
1.0955852284199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050dt1 84150fk1 |
Quadratic twists by: -3 5 |