Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180n |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2234779132988160 = 28 · 34 · 5 · 116 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320460,-69894540] |
[a1,a2,a3,a4,a6] |
j |
14216954944919509456/8729605988235 |
j-invariant |
L |
3.6119730072576 |
L(r)(E,1)/r! |
Ω |
0.20066516706986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720bz4 45540n4 75900g4 |
Quadratic twists by: -4 -3 5 |