Atkin-Lehner |
3+ 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12243b |
Isogeny class |
Conductor |
12243 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
61560 |
Modular degree for the optimal curve |
Δ |
-11056195424043 = -1 · 39 · 73 · 11 · 533 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ 11- 1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-71534,7389686] |
[a1,a2,a3,a4,a6] |
j |
-40482499052479393792/11056195424043 |
j-invariant |
L |
0.70218515982525 |
L(r)(E,1)/r! |
Ω |
0.70218515982525 |
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 |
36729m1 85701be1 |
Quadratic twists by: -3 -7 |