Atkin-Lehner |
2- 3+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862bc |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
11867765632563456 = 28 · 39 · 74 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73064,-5487317] |
[a1,a2,a3,a4,a6] |
Generators |
[1861:78449:1] |
Generators of the group modulo torsion |
j |
2191478332294971/602944959232 |
j-invariant |
L |
12.860170809632 |
L(r)(E,1)/r! |
Ω |
0.29639814716931 |
Real period |
R |
2.7117601206126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862d1 |
Quadratic twists by: -3 |