Atkin-Lehner |
2+ 3- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194o |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-2605765032 = -1 · 23 · 33 · 133 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 -3 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31946,2195012] |
[a1,a2,a3,a4,a6] |
j |
-3605401471538841625/2605765032 |
j-invariant |
L |
2.3925303289899 |
L(r)(E,1)/r! |
Ω |
1.196265164495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75582br1 |
Quadratic twists by: -3 |