Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402t |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
489216 |
Modular degree for the optimal curve |
Δ |
-60006621972455424 = -1 · 213 · 37 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1012929,-392987841] |
[a1,a2,a3,a4,a6] |
Generators |
[1637:47544:1] |
Generators of the group modulo torsion |
j |
-2848251888987751/1487020032 |
j-invariant |
L |
8.1106313404493 |
L(r)(E,1)/r! |
Ω |
0.07524215156038 |
Real period |
R |
4.1459122683077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73206x1 24402bf1 |
Quadratic twists by: -3 -7 |