Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080t |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4988254233600 = 210 · 36 · 52 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4696,-63196] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:132:1] [-46:240:1] |
Generators of the group modulo torsion |
j |
11186661547876/4871342025 |
j-invariant |
L |
13.573338082289 |
L(r)(E,1)/r! |
Ω |
0.60011507564283 |
Real period |
R |
1.8848243495473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978373 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62040m2 |
Quadratic twists by: -4 |