Atkin-Lehner |
2- 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870x |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
180224954640 = 24 · 36 · 5 · 174 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3195,66177] |
[a1,a2,a3,a4,a6] |
j |
3606988811384881/180224954640 |
j-invariant |
L |
6.0010654526914 |
L(r)(E,1)/r! |
Ω |
1.0001775754486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56610c1 94350b1 |
Quadratic twists by: -3 5 |