Atkin-Lehner |
5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675b |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1135680 |
Modular degree for the optimal curve |
Δ |
-3650217626494140625 = -1 · 510 · 77 · 114 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 11+ -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1189388,507560017] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:30384:1] |
Generators of the group modulo torsion |
j |
-19054359247215625/373782284953 |
j-invariant |
L |
2.3860669092852 |
L(r)(E,1)/r! |
Ω |
0.249433986351 |
Real period |
R |
4.7829627072966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59675q1 |
Quadratic twists by: 5 |