Atkin-Lehner |
2- 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104940s |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
348480 |
Modular degree for the optimal curve |
Δ |
-332036718750000 = -1 · 24 · 36 · 511 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 7 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6708,-901843] |
[a1,a2,a3,a4,a6] |
Generators |
[6564709773468725:167455266521314916:9903746546875] |
Generators of the group modulo torsion |
j |
-2861905985536/28466796875 |
j-invariant |
L |
6.0940669756118 |
L(r)(E,1)/r! |
Ω |
0.22960603013017 |
Real period |
R |
26.541406478554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11660f1 |
Quadratic twists by: -3 |