Atkin-Lehner |
3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bm |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-5594380171875 = -1 · 38 · 56 · 113 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 11- 6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7542,278491] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:599:1] |
Generators of the group modulo torsion |
j |
-4165509529/491139 |
j-invariant |
L |
8.3697162375484 |
L(r)(E,1)/r! |
Ω |
0.73931123098935 |
Real period |
R |
1.8868274252318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825g1 4059d1 |
Quadratic twists by: -3 5 |