Atkin-Lehner |
2- 3- 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
98406l |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
784383007716 = 22 · 38 · 72 · 112 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8969,326373] |
[a1,a2,a3,a4,a6] |
Generators |
[478:27:8] |
Generators of the group modulo torsion |
j |
109441707358537/1075971204 |
j-invariant |
L |
12.198038603922 |
L(r)(E,1)/r! |
Ω |
0.90021105486643 |
Real period |
R |
3.3875496564324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004431 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32802a2 |
Quadratic twists by: -3 |