Atkin-Lehner |
2- 3- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
45264u |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1228098502656 = -1 · 221 · 33 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 2 4 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1840,44436] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-384:1] |
Generators of the group modulo torsion |
j |
168105213359/299828736 |
j-invariant |
L |
9.1645429398592 |
L(r)(E,1)/r! |
Ω |
0.59251050212012 |
Real period |
R |
0.64447120255463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5658d1 |
Quadratic twists by: -4 |