Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bn |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-25307437904953344 = -1 · 223 · 35 · 7 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71896,1901748] |
[a1,a2,a3,a4,a6] |
Generators |
[46:2304:1] |
Generators of the group modulo torsion |
j |
10033949469247703/6178573707264 |
j-invariant |
L |
10.297220477375 |
L(r)(E,1)/r! |
Ω |
0.23287270828388 |
Real period |
R |
1.1054559079659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566b1 |
Quadratic twists by: -4 |