Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12120i |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
376980480 = 210 · 36 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:48:1] |
Generators of the group modulo torsion |
j |
1499221444/368145 |
j-invariant |
L |
5.5995180233445 |
L(r)(E,1)/r! |
Ω |
1.5894822874546 |
Real period |
R |
1.1742855032191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24240e1 96960j1 36360s1 60600u1 |
Quadratic twists by: -4 8 -3 5 |