Atkin-Lehner |
2- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560m |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-3279380480000 = -1 · 216 · 54 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3533,-32526] |
[a1,a2,a3,a4,a6] |
j |
1190678951799/800630000 |
j-invariant |
L |
3.6142624479382 |
L(r)(E,1)/r! |
Ω |
0.45178274742741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13570b1 |
Quadratic twists by: -4 |