Atkin-Lehner |
3+ 5- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
77265d |
Isogeny class |
Conductor |
77265 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
-3621796875 = -1 · 33 · 57 · 17 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 4 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257,-3236] |
[a1,a2,a3,a4,a6] |
Generators |
[22:26:1] |
Generators of the group modulo torsion |
j |
-69274613043/134140625 |
j-invariant |
L |
5.0585459033925 |
L(r)(E,1)/r! |
Ω |
0.56104445187037 |
Real period |
R |
0.64402153194849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77265a1 |
Quadratic twists by: -3 |