Atkin-Lehner |
2- 3+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
9246f |
Isogeny class |
Conductor |
9246 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
117040 |
Modular degree for the optimal curve |
Δ |
-139085092878759936 = -1 · 211 · 37 · 23 · 675 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 -5 3 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,84163,-15250093] |
[a1,a2,a3,a4,a6] |
Generators |
[245:4366:1] |
Generators of the group modulo torsion |
j |
65930597610101934767/139085092878759936 |
j-invariant |
L |
4.3813627737438 |
L(r)(E,1)/r! |
Ω |
0.17024184491523 |
Real period |
R |
0.46792926486707 |
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 |
73968p1 27738h1 |
Quadratic twists by: -4 -3 |