Atkin-Lehner |
2+ 3+ 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274m |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
28781552772 = 22 · 36 · 72 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4322,-110880] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:36:1] |
Generators of the group modulo torsion |
j |
8931717893465641/28781552772 |
j-invariant |
L |
2.5558133725321 |
L(r)(E,1)/r! |
Ω |
0.58891066710368 |
Real period |
R |
0.72331665771481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bq1 |
Quadratic twists by: -3 |