Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310o |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
671785075055001600 = 220 · 36 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5575730,5065104575] |
[a1,a2,a3,a4,a6] |
j |
19170300594578891358373921/671785075055001600 |
j-invariant |
L |
2.6843000563939 |
L(r)(E,1)/r! |
Ω |
0.26843000563939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
18480da2 73920cv2 6930i2 11550s2 |
Quadratic twists by: -4 8 -3 5 |