Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666h |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-4304397552 = -1 · 24 · 3 · 74 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-835,9469] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-32:1] [30:97:1] |
Generators of the group modulo torsion |
j |
-29360639125/1959216 |
j-invariant |
L |
6.9245352208717 |
L(r)(E,1)/r! |
Ω |
1.3603524410916 |
Real period |
R |
2.5451254429787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120666bs1 |
Quadratic twists by: 13 |