Atkin-Lehner |
2+ 3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274v |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
14340981312 = 26 · 38 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-928,-9298] |
[a1,a2,a3,a4,a6] |
Generators |
[49:227:1] |
Generators of the group modulo torsion |
j |
88245939632761/14340981312 |
j-invariant |
L |
3.7112837246469 |
L(r)(E,1)/r! |
Ω |
0.87462487679114 |
Real period |
R |
0.5304107828294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822ca1 |
Quadratic twists by: -3 |