Atkin-Lehner |
2- 3+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650cf |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-349988437500 = -1 · 22 · 3 · 57 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,537,28281] |
[a1,a2,a3,a4,a6] |
Generators |
[15:192:1] |
Generators of the group modulo torsion |
j |
1095912791/22399260 |
j-invariant |
L |
9.2039425576091 |
L(r)(E,1)/r! |
Ω |
0.71639111259427 |
Real period |
R |
1.605956297373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330j1 |
Quadratic twists by: 5 |