Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60690bh |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
-3.1022115535261E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1362641,-1046005441] |
[a1,a2,a3,a4,a6] |
Generators |
[1080113:1122005014:1] |
Generators of the group modulo torsion |
j |
-40112221740049/44471322000 |
j-invariant |
L |
7.7103873720105 |
L(r)(E,1)/r! |
Ω |
0.06695982295485 |
Real period |
R |
9.5957882299756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690ce1 |
Quadratic twists by: 17 |