Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488it |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-113988260069376 = -1 · 222 · 3 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10911,-263649] |
[a1,a2,a3,a4,a6] |
Generators |
[115492424:-1458536205:2515456] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
8.3731231334306 |
L(r)(E,1)/r! |
Ω |
0.32890537315789 |
Real period |
R |
12.728772197358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488z1 25872bm1 14784bu1 |
Quadratic twists by: -4 8 -7 |