Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600f |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
1441200250000 = 24 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 1 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8575,300125] |
[a1,a2,a3,a4,a6] |
Generators |
[-272460:2304541:3375] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
8.8407067666196 |
L(r)(E,1)/r! |
Ω |
0.85158240397266 |
Real period |
R |
10.381504743848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800c1 78400gn1 784b1 19600bd1 |
Quadratic twists by: -4 8 5 -7 |