Atkin-Lehner |
3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425n |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
736128 |
Modular degree for the optimal curve |
Δ |
-265213970296875 = -1 · 312 · 56 · 19 · 412 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 5 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-428858,107958194] |
[a1,a2,a3,a4,a6] |
Generators |
[394:553:1] |
Generators of the group modulo torsion |
j |
-558271228763533312/16973694099 |
j-invariant |
L |
3.6661350721984 |
L(r)(E,1)/r! |
Ω |
0.51393147528012 |
Real period |
R |
0.29722956337224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2337b1 |
Quadratic twists by: 5 |