Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3696m |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-22560412295249136 = -1 · 24 · 33 · 715 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ -7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59978,-4520981] |
[a1,a2,a3,a4,a6] |
j |
1491325446082364672/1410025768453071 |
j-invariant |
L |
0.20816094350376 |
L(r)(E,1)/r! |
Ω |
0.20816094350376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
924h2 14784ch2 11088bn2 92400ha2 |
Quadratic twists by: -4 8 -3 5 |