Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968cm |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-7130433817584 = -1 · 24 · 33 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3993,161051] |
[a1,a2,a3,a4,a6] |
j |
-6912/7 |
j-invariant |
L |
2.714547774437 |
L(r)(E,1)/r! |
Ω |
0.67863673906832 |
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 |
30492f1 121968cl1 121968cy1 |
Quadratic twists by: -4 -3 -11 |