Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
104940q |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
19676250000 = 24 · 33 · 57 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34137,2427641] |
[a1,a2,a3,a4,a6] |
Generators |
[127:375:1] |
Generators of the group modulo torsion |
j |
10183944450394368/45546875 |
j-invariant |
L |
6.6633251975176 |
L(r)(E,1)/r! |
Ω |
1.0747002093832 |
Real period |
R |
0.14762312162636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104940c1 |
Quadratic twists by: -3 |