Atkin-Lehner |
2+ 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650d |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24288 |
Modular degree for the optimal curve |
Δ |
-183300 = -1 · 22 · 3 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130,520] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-4:1] |
Generators of the group modulo torsion |
j |
-9836106385/7332 |
j-invariant |
L |
3.6641890168233 |
L(r)(E,1)/r! |
Ω |
3.1717834196427 |
Real period |
R |
0.57762282659318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650dv1 |
Quadratic twists by: 5 |