Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080g |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
454656 |
Modular degree for the optimal curve |
Δ |
-313352578978560 = -1 · 28 · 316 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -5 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16159,311325] |
[a1,a2,a3,a4,a6] |
Generators |
[-5572:72171:343] |
Generators of the group modulo torsion |
j |
1822637548706816/1224033511635 |
j-invariant |
L |
4.3538462049107 |
L(r)(E,1)/r! |
Ω |
0.3419727964251 |
Real period |
R |
3.1828892869067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62040e1 |
Quadratic twists by: -4 |