Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450co |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1306182332812500 = 22 · 312 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20973713,-36972739083] |
[a1,a2,a3,a4,a6] |
j |
65302476285992806722889/83595669300 |
j-invariant |
L |
6.7725459051282 |
L(r)(E,1)/r! |
Ω |
0.070547353178419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350ba4 4290e3 |
Quadratic twists by: -3 5 |