Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ca |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
3334336054663654656 = 28 · 311 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463188,-83687956] |
[a1,a2,a3,a4,a6] |
j |
274717696/83349 |
j-invariant |
L |
3.3716384086787 |
L(r)(E,1)/r! |
Ω |
0.18731332223005 |
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 |
60984bw1 40656q1 121968bi1 |
Quadratic twists by: -4 -3 -11 |