Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550g |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-14896000000 = -1 · 210 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -5 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-317,6341] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:59:1] [10:59:1] |
Generators of the group modulo torsion |
j |
-4609521/19456 |
j-invariant |
L |
6.4669122120994 |
L(r)(E,1)/r! |
Ω |
1.0862684554802 |
Real period |
R |
2.9766639082056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1862e1 46550c1 |
Quadratic twists by: 5 -7 |