Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680l |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
73216819200 = 220 · 3 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,-20415] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:28:1] [-17:40:1] |
Generators of the group modulo torsion |
j |
1732323601/279300 |
j-invariant |
L |
9.4876088385205 |
L(r)(E,1)/r! |
Ω |
0.7629391951855 |
Real period |
R |
3.1089007147982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fl1 3990bc1 |
Quadratic twists by: -4 8 |