Atkin-Lehner |
3- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
58425j |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-621500501953125 = -1 · 35 · 59 · 19 · 413 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6162,1185417] |
[a1,a2,a3,a4,a6] |
Generators |
[807:22659:1] |
Generators of the group modulo torsion |
j |
1656015369191/39776032125 |
j-invariant |
L |
3.9111401048493 |
L(r)(E,1)/r! |
Ω |
0.3852938298524 |
Real period |
R |
0.16918430394003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11685a1 |
Quadratic twists by: 5 |