Atkin-Lehner |
2+ 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414g |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-46869426509248 = -1 · 26 · 77 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9007,-18019] |
[a1,a2,a3,a4,a6] |
Generators |
[25:459:1] |
Generators of the group modulo torsion |
j |
686829337767/398383552 |
j-invariant |
L |
3.785613481288 |
L(r)(E,1)/r! |
Ω |
0.37817508759255 |
Real period |
R |
1.2512767212094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13202a1 |
Quadratic twists by: -7 |