Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680dk |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
20802264000 = 26 · 3 · 53 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180516,-29460270] |
[a1,a2,a3,a4,a6] |
Generators |
[9898:323939:8] |
Generators of the group modulo torsion |
j |
10164669180562697536/325035375 |
j-invariant |
L |
6.2459490791312 |
L(r)(E,1)/r! |
Ω |
0.23161699865882 |
Real period |
R |
6.7416782342085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999775905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fj1 63840by4 |
Quadratic twists by: -4 8 |