Atkin-Lehner |
2- 3- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123624l |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
92605254912 = 28 · 36 · 173 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -5 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1380,-13228] |
[a1,a2,a3,a4,a6] |
Generators |
[44:106:1] |
Generators of the group modulo torsion |
j |
1557376000/496213 |
j-invariant |
L |
5.5607655650551 |
L(r)(E,1)/r! |
Ω |
0.80301575634993 |
Real period |
R |
3.4624261561775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13736b1 |
Quadratic twists by: -3 |