Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304hx |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-37888143261696 = -1 · 217 · 33 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,296127] |
[a1,a2,a3,a4,a6] |
Generators |
[37:588:1] |
Generators of the group modulo torsion |
j |
-2/2457 |
j-invariant |
L |
10.682915135153 |
L(r)(E,1)/r! |
Ω |
0.51601401091201 |
Real period |
R |
0.862615069027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304bq1 30576b1 17472bq1 |
Quadratic twists by: -4 8 -7 |