Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bj |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-336262885539840 = -1 · 219 · 39 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8545,-930335] |
[a1,a2,a3,a4,a6] |
Generators |
[137:672:1] |
Generators of the group modulo torsion |
j |
-263251475929/1282741110 |
j-invariant |
L |
4.8187470922219 |
L(r)(E,1)/r! |
Ω |
0.22442793252712 |
Real period |
R |
1.7892703481277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000316832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680ga1 3990n1 |
Quadratic twists by: -4 8 |