Atkin-Lehner |
3- 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49995g |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-12654984375 = -1 · 36 · 56 · 11 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167,-5434] |
[a1,a2,a3,a4,a6] |
Generators |
[46:264:1] |
Generators of the group modulo torsion |
j |
-702595369/17359375 |
j-invariant |
L |
3.1447670824179 |
L(r)(E,1)/r! |
Ω |
0.5474382564793 |
Real period |
R |
1.9148382155069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5555a1 |
Quadratic twists by: -3 |