Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686c |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
197568 |
Modular degree for the optimal curve |
Δ |
-166953560100054 = -1 · 2 · 3 · 78 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -5 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8453,686379] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4008:1] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
1.7520955545307 |
L(r)(E,1)/r! |
Ω |
0.50699609806035 |
Real period |
R |
0.57597272813207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686bg1 294a1 |
Quadratic twists by: -7 13 |