Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472k |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-4031218160119808 = -1 · 212 · 79 · 293 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- -2 6 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28355,-2449579] |
[a1,a2,a3,a4,a6] |
j |
15252992/24389 |
j-invariant |
L |
0.92764307186408 |
L(r)(E,1)/r! |
Ω |
0.23191076804421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472z1 90944bo1 45472g1 |
Quadratic twists by: -4 8 -7 |