Atkin-Lehner |
2+ 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360d |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-898064000000 = -1 · 210 · 56 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-667,46074] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:222:1] [3:210:1] |
Generators of the group modulo torsion |
j |
-32048024004/877015625 |
j-invariant |
L |
11.996747048816 |
L(r)(E,1)/r! |
Ω |
0.74123070830445 |
Real period |
R |
2.6974838188698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60680f2 |
Quadratic twists by: -4 |