Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525a |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-3515617843171875 = -1 · 311 · 56 · 74 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -2 3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8167,2835818] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-2013:1] |
Generators of the group modulo torsion |
j |
1605632000/93710763 |
j-invariant |
L |
4.2033149568818 |
L(r)(E,1)/r! |
Ω |
0.33854042812534 |
Real period |
R |
1.0346659297733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381j1 84525bq1 |
Quadratic twists by: 5 -7 |