Atkin-Lehner |
2+ 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560c |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-37820160 = -1 · 28 · 32 · 5 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,84,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16:72:1] |
Generators of the group modulo torsion |
j |
253012016/147735 |
j-invariant |
L |
5.8633976797975 |
L(r)(E,1)/r! |
Ω |
1.2406031014415 |
Real period |
R |
2.3631238930967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280j1 |
Quadratic twists by: -4 |