Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650x |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-76532500 = -1 · 22 · 54 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 0 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,95,197] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
153212175/122452 |
j-invariant |
L |
7.1443637733803 |
L(r)(E,1)/r! |
Ω |
1.2461783863307 |
Real period |
R |
0.95550308737854 |
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 |
101200ck1 113850cw1 12650e1 |
Quadratic twists by: -4 -3 5 |