Atkin-Lehner |
3+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
80925h |
Isogeny class |
Conductor |
80925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-884914875 = -1 · 38 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 0 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14033,-645694] |
[a1,a2,a3,a4,a6] |
Generators |
[1050:33292:1] |
Generators of the group modulo torsion |
j |
-2444934388379813/7079319 |
j-invariant |
L |
3.5250071192848 |
L(r)(E,1)/r! |
Ω |
0.21932174421771 |
Real period |
R |
4.0180775599896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80925r1 |
Quadratic twists by: 5 |