Atkin-Lehner |
2- 3+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
12282g |
Isogeny class |
Conductor |
12282 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
11938104 = 23 · 36 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 6 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-362,2495] |
[a1,a2,a3,a4,a6] |
Generators |
[15:19:1] |
Generators of the group modulo torsion |
j |
5247161161633/11938104 |
j-invariant |
L |
4.0445108646715 |
L(r)(E,1)/r! |
Ω |
2.2634134839304 |
Real period |
R |
0.29781794130756 |
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 |
98256s1 36846l1 |
Quadratic twists by: -4 -3 |