Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575r |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-153038046875 = -1 · 57 · 7 · 234 |
Discriminant |
Eigenvalues |
1 1 5+ 7- -5 -6 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,-18927] |
[a1,a2,a3,a4,a6] |
Generators |
[246:223:8] |
Generators of the group modulo torsion |
j |
-529/35 |
j-invariant |
L |
6.6741384011134 |
L(r)(E,1)/r! |
Ω |
0.45207637220029 |
Real period |
R |
3.69082461166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515b1 92575e1 |
Quadratic twists by: 5 -23 |