Atkin-Lehner |
2+ 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98022j |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2.1892979854206E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-114580531,-472093562674] |
[a1,a2,a3,a4,a6] |
Generators |
[1586867177658765:-20941157211618128:127643417875] |
Generators of the group modulo torsion |
j |
-195057497317059625/2566914048 |
j-invariant |
L |
6.2907255359577 |
L(r)(E,1)/r! |
Ω |
0.02307233287863 |
Real period |
R |
22.721028287609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022b2 |
Quadratic twists by: -31 |