Atkin-Lehner |
2- 5+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050o |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-63641450800 = -1 · 24 · 52 · 232 · 673 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9468,350861] |
[a1,a2,a3,a4,a6] |
Generators |
[39:187:1] |
Generators of the group modulo torsion |
j |
-3754579616759785/2545658032 |
j-invariant |
L |
14.585466503633 |
L(r)(E,1)/r! |
Ω |
1.0941233659699 |
Real period |
R |
1.6663416299063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050h1 |
Quadratic twists by: 5 |