Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bn |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-2744589541593892608 = -1 · 28 · 310 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30129,79681646] |
[a1,a2,a3,a4,a6] |
Generators |
[-371:4176:1] |
Generators of the group modulo torsion |
j |
9148592/8301447 |
j-invariant |
L |
3.8175820583797 |
L(r)(E,1)/r! |
Ω |
0.19939261665637 |
Real period |
R |
4.7865138270429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999786145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984cj1 40656k1 11088y1 |
Quadratic twists by: -4 -3 -11 |