Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240w |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
16634880 = 210 · 32 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
67108864/16245 |
j-invariant |
L |
4.2962378170618 |
L(r)(E,1)/r! |
Ω |
1.5984707682724 |
Real period |
R |
1.3438587374685 |
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 |
18240cp1 1140b1 54720bi1 91200dt1 |
Quadratic twists by: -4 8 -3 5 |