Atkin-Lehner |
2- 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490bp |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-255392449200000 = -1 · 27 · 34 · 55 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3921,-774999] |
[a1,a2,a3,a4,a6] |
j |
-56667352321/2170800000 |
j-invariant |
L |
6.7640259382219 |
L(r)(E,1)/r! |
Ω |
0.24157235746392 |
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 |
2010f1 |
Quadratic twists by: -7 |