Atkin-Lehner |
2+ 3- 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24510g |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-21541992187500000 = -1 · 25 · 33 · 515 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2518,-7061944] |
[a1,a2,a3,a4,a6] |
Generators |
[2870:48031:8] |
Generators of the group modulo torsion |
j |
-1764586415983321/21541992187500000 |
j-invariant |
L |
4.6572884162483 |
L(r)(E,1)/r! |
Ω |
0.17411083563475 |
Real period |
R |
5.3497973279714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73530bd1 122550bp1 |
Quadratic twists by: -3 5 |