Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560d |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-9618750000 = -1 · 24 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,305,4150] |
[a1,a2,a3,a4,a6] |
Generators |
[10:90:1] |
Generators of the group modulo torsion |
j |
195469297664/601171875 |
j-invariant |
L |
3.2655213120948 |
L(r)(E,1)/r! |
Ω |
0.91221965536911 |
Real period |
R |
0.89493832238613 |
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 |
2280i1 18240ch1 13680m1 22800bc1 |
Quadratic twists by: -4 8 -3 5 |