Atkin-Lehner |
2+ 3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558l |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
910 |
Product of Tamagawa factors cp |
deg |
39312000 |
Modular degree for the optimal curve |
Δ |
-1.4011164300339E+29 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2026914394,-39471833285332] |
[a1,a2,a3,a4,a6] |
Generators |
[54064:2968019:1] |
Generators of the group modulo torsion |
j |
-920937022277696338956662792665369/140111643003386360078234768544 |
j-invariant |
L |
4.8854352566694 |
L(r)(E,1)/r! |
Ω |
0.011156572835874 |
Real period |
R |
0.48120603442853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100674bk1 |
Quadratic twists by: -3 |