Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554p |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-28121800137912 = -1 · 23 · 39 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3010,246341] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:157:1] |
Generators of the group modulo torsion |
j |
857375/7992 |
j-invariant |
L |
12.896146751469 |
L(r)(E,1)/r! |
Ω |
0.48769357801029 |
Real period |
R |
2.2035945248811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37518f1 666c1 |
Quadratic twists by: -3 13 |