Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
92512f |
Isogeny class |
Conductor |
92512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-185024 = -1 · 26 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -2 6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[14:50:1] |
Generators of the group modulo torsion |
j |
-448/59 |
j-invariant |
L |
6.7945054448322 |
L(r)(E,1)/r! |
Ω |
1.4191792104444 |
Real period |
R |
2.3938151697069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92512d1 92512a1 |
Quadratic twists by: -4 -7 |