Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380a |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0045256459037E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2267301,-1304416710] |
[a1,a2,a3,a4,a6] |
Generators |
[22514:3370318:1] [-1794598:3044326:2197] |
Generators of the group modulo torsion |
j |
3337628010151936/26010429165 |
j-invariant |
L |
9.2161483798545 |
L(r)(E,1)/r! |
Ω |
0.1230910064721 |
Real period |
R |
18.718159516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140o3 |
Quadratic twists by: 17 |