Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525cd |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-887882296875 = -1 · 3 · 56 · 77 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2042,-27506] |
[a1,a2,a3,a4,a6] |
Generators |
[13:37:1] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
4.4918275922517 |
L(r)(E,1)/r! |
Ω |
0.48480303940586 |
Real period |
R |
2.3163157144616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381h1 12075f1 |
Quadratic twists by: 5 -7 |