Atkin-Lehner |
2+ 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410i |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-262757798437500 = -1 · 22 · 38 · 58 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6444,-803300] |
[a1,a2,a3,a4,a6] |
Generators |
[206:-2668:1] |
Generators of the group modulo torsion |
j |
-40597630665409/360435937500 |
j-invariant |
L |
5.4594387602228 |
L(r)(E,1)/r! |
Ω |
0.23339872346667 |
Real period |
R |
0.73096997987335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bc1 |
Quadratic twists by: -3 |