Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285q |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-90339975 = -1 · 33 · 52 · 11 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,104,215] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
10218313/7425 |
j-invariant |
L |
6.0787903738468 |
L(r)(E,1)/r! |
Ω |
1.2142452584244 |
Real period |
R |
1.6687431481961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87285w1 |
Quadratic twists by: -23 |