Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080cz |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-10138363729920000 = -1 · 214 · 316 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15825,4899375] |
[a1,a2,a3,a4,a6] |
Generators |
[15:2160:1] |
Generators of the group modulo torsion |
j |
-26752376766544/618796614375 |
j-invariant |
L |
6.9093424318387 |
L(r)(E,1)/r! |
Ω |
0.34156385861892 |
Real period |
R |
0.31607113215666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080m1 5520a1 66240ee1 110400fi1 |
Quadratic twists by: -4 8 -3 5 |