Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49700c |
Isogeny class |
Conductor |
49700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-9940000000 = -1 · 28 · 57 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,492,-2488] |
[a1,a2,a3,a4,a6] |
j |
3286064/2485 |
j-invariant |
L |
4.324152749499 |
L(r)(E,1)/r! |
Ω |
0.72069212497368 |
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 |
9940f1 |
Quadratic twists by: 5 |