Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24684o |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
382543144161552 = 24 · 38 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11- 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18190,-84691] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1089:1] |
Generators of the group modulo torsion |
j |
194081536/111537 |
j-invariant |
L |
5.8875232900107 |
L(r)(E,1)/r! |
Ω |
0.44680265771522 |
Real period |
R |
0.54904210210286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736cw1 74052o1 24684j1 |
Quadratic twists by: -4 -3 -11 |