Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11712s |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3599914254336 = 214 · 310 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79057,-8528975] |
[a1,a2,a3,a4,a6] |
j |
3335264310828112/219721329 |
j-invariant |
L |
2.5624667602773 |
L(r)(E,1)/r! |
Ω |
0.2847185289197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11712j2 2928e2 35136bw2 |
Quadratic twists by: -4 8 -3 |