Atkin-Lehner |
2+ 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8806c |
Isogeny class |
Conductor |
8806 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
35224 = 23 · 7 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
1630532233/35224 |
j-invariant |
L |
1.794681484012 |
L(r)(E,1)/r! |
Ω |
2.1482584353816 |
Real period |
R |
0.83541228301668 |
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 |
70448j1 79254bj1 61642d1 |
Quadratic twists by: -4 -3 -7 |