Atkin-Lehner |
7+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44051a |
Isogeny class |
Conductor |
44051 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
97272 |
Modular degree for the optimal curve |
Δ |
-4980436411139 = -1 · 78 · 29 · 313 |
Discriminant |
Eigenvalues |
1 -1 2 7+ 5 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15999,-792980] |
[a1,a2,a3,a4,a6] |
Generators |
[89374536:2094192622:148877] |
Generators of the group modulo torsion |
j |
-78570645433/863939 |
j-invariant |
L |
7.546260428834 |
L(r)(E,1)/r! |
Ω |
0.21210859459257 |
Real period |
R |
11.859114656721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44051f1 |
Quadratic twists by: -7 |