Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275da |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1006757984925 = 36 · 52 · 73 · 115 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3150,-47959] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:94:1] |
Generators of the group modulo torsion |
j |
552960000/161051 |
j-invariant |
L |
4.7612029833018 |
L(r)(E,1)/r! |
Ω |
0.6514808065596 |
Real period |
R |
1.8270695606758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999562789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475f1 121275fm1 121275dc1 |
Quadratic twists by: -3 5 -7 |