Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800a |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-1.021217202747E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,880367,367548637] |
[a1,a2,a3,a4,a6] |
Generators |
[-251450083332:1792481599775:702595369] |
Generators of the group modulo torsion |
j |
3272428544/4428675 |
j-invariant |
L |
4.8413521631942 |
L(r)(E,1)/r! |
Ω |
0.12739619866561 |
Real period |
R |
19.001164139527 |
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 |
29400dq1 11760ba1 58800cp1 |
Quadratic twists by: -4 5 -7 |