Atkin-Lehner |
3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475bq |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-301658241058264125 = -1 · 39 · 53 · 77 · 533 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -3 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70340,27400812] |
[a1,a2,a3,a4,a6] |
Generators |
[-280:5148:1] |
Generators of the group modulo torsion |
j |
-422364564249389/3310378502697 |
j-invariant |
L |
4.3005002317262 |
L(r)(E,1)/r! |
Ω |
0.26317894542889 |
Real period |
R |
0.097265439115707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27825e1 83475bi1 |
Quadratic twists by: -3 5 |