Atkin-Lehner |
2+ 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616c |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-52914290688 = -1 · 220 · 34 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,447,10305] |
[a1,a2,a3,a4,a6] |
Generators |
[3:108:1] [35:260:1] |
Generators of the group modulo torsion |
j |
37595375/201852 |
j-invariant |
L |
9.5671128561842 |
L(r)(E,1)/r! |
Ω |
0.80876353317384 |
Real period |
R |
5.9146539525262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616x1 3738d1 |
Quadratic twists by: -4 8 |