Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bs |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.2538942238523E+19 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32100993,70014474881] |
[a1,a2,a3,a4,a6] |
Generators |
[109985:36427776:1] |
Generators of the group modulo torsion |
j |
13955300880533969118625/162273186639872 |
j-invariant |
L |
10.827160784956 |
L(r)(E,1)/r! |
Ω |
0.18442721375709 |
Real period |
R |
2.4461232584662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344cw2 3542o2 |
Quadratic twists by: -4 8 |