Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fo |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
30643200 = 210 · 32 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39901,3054515] |
[a1,a2,a3,a4,a6] |
Generators |
[179:1296:1] |
Generators of the group modulo torsion |
j |
6860977263302656/29925 |
j-invariant |
L |
9.2769918423777 |
L(r)(E,1)/r! |
Ω |
1.406307537086 |
Real period |
R |
3.2983510254945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680d1 31920k1 |
Quadratic twists by: -4 8 |