Atkin-Lehner |
3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475n |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
-1105294753606640625 = -1 · 33 · 58 · 711 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 5 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-754430,257428822] |
[a1,a2,a3,a4,a6] |
Generators |
[313:7046:1] |
Generators of the group modulo torsion |
j |
-4502525935581315/104798317379 |
j-invariant |
L |
5.0239977169256 |
L(r)(E,1)/r! |
Ω |
0.27510530495323 |
Real period |
R |
0.83009498006536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475o1 83475f1 |
Quadratic twists by: -3 5 |