Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150bc |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1339027200 = -1 · 28 · 36 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267,2501] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:69:1] |
Generators of the group modulo torsion |
j |
-115745625/73472 |
j-invariant |
L |
5.2130155733038 |
L(r)(E,1)/r! |
Ω |
1.4090213499249 |
Real period |
R |
1.8498710391148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350v1 129150dq1 |
Quadratic twists by: -3 5 |