Atkin-Lehner |
2+ 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410j |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-6726599640000 = -1 · 26 · 38 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3006,106708] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-386:1] |
Generators of the group modulo torsion |
j |
4119854157791/9227160000 |
j-invariant |
L |
5.6961458508914 |
L(r)(E,1)/r! |
Ω |
0.52062213992339 |
Real period |
R |
0.68381478786028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999301602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bd1 |
Quadratic twists by: -3 |