Atkin-Lehner |
3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569d |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-345928362993 = -1 · 32 · 197 · 43 |
Discriminant |
Eigenvalues |
1 3+ 0 -5 0 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2895,-67518] |
[a1,a2,a3,a4,a6] |
Generators |
[74:324:1] |
Generators of the group modulo torsion |
j |
-57066625/7353 |
j-invariant |
L |
2.5449043691294 |
L(r)(E,1)/r! |
Ω |
0.32309099650944 |
Real period |
R |
0.98459272952304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451g1 |
Quadratic twists by: -19 |