Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
104940r |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
2868797250000 = 24 · 39 · 56 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6372,-178011] |
[a1,a2,a3,a4,a6] |
Generators |
[40929:299160:343] |
Generators of the group modulo torsion |
j |
90853097472/9109375 |
j-invariant |
L |
9.689678691966 |
L(r)(E,1)/r! |
Ω |
0.53780764241703 |
Real period |
R |
6.0056656519517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104940d1 |
Quadratic twists by: -3 |