Atkin-Lehner |
3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87975bl |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-3380037337008075375 = -1 · 37 · 53 · 174 · 236 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,52398,88320631] |
[a1,a2,a3,a4,a6] |
Generators |
[-1178:70969:8] |
Generators of the group modulo torsion |
j |
174592522712971/37092316455507 |
j-invariant |
L |
6.082329789382 |
L(r)(E,1)/r! |
Ω |
0.19389627297419 |
Real period |
R |
1.3070411512612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29325l1 87975bh1 |
Quadratic twists by: -3 5 |