Atkin-Lehner |
3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93075t |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1357440 |
Modular degree for the optimal curve |
Δ |
-1315686385546875 = -1 · 37 · 58 · 172 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 0 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-908208,332841494] |
[a1,a2,a3,a4,a6] |
Generators |
[333:8212:1] [549:-77:1] |
Generators of the group modulo torsion |
j |
-212089967177175040/3368157147 |
j-invariant |
L |
6.5339651174984 |
L(r)(E,1)/r! |
Ω |
0.44201286724039 |
Real period |
R |
0.17597971641104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93075b1 |
Quadratic twists by: 5 |