Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984ch |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-2314310600448 = -1 · 28 · 36 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1089,71874] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:242:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
4.4512814025096 |
L(r)(E,1)/r! |
Ω |
0.60895728221565 |
Real period |
R |
0.91370969942018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968bl1 6776c1 504c1 |
Quadratic twists by: -4 -3 -11 |