Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cl |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
177132384 |
Modular degree for the optimal curve |
Δ |
-2.1378179247362E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7941596025,272489201594055] |
[a1,a2,a3,a4,a6] |
Generators |
[-10545882405:15568230134488:804357] |
Generators of the group modulo torsion |
j |
-27476276164729743854449/10604287663073280 |
j-invariant |
L |
7.7106070142279 |
L(r)(E,1)/r! |
Ω |
0.037588094862868 |
Real period |
R |
18.648571484616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370df1 |
Quadratic twists by: 17 |