Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050r |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
126639038039062500 = 22 · 39 · 59 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134367,-8105959] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:1909:1] |
Generators of the group modulo torsion |
j |
59319/28 |
j-invariant |
L |
4.0676555818167 |
L(r)(E,1)/r! |
Ω |
0.26112522711221 |
Real period |
R |
3.8943533212025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22050dp1 22050do1 3150g1 |
Quadratic twists by: -3 5 -7 |