Atkin-Lehner |
7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28567f |
Isogeny class |
Conductor |
28567 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-21553316917979 = -1 · 78 · 113 · 532 |
Discriminant |
Eigenvalues |
-2 1 3 7- 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4786,-181856] |
[a1,a2,a3,a4,a6] |
Generators |
[41:291:1] |
Generators of the group modulo torsion |
j |
103029788672/183200171 |
j-invariant |
L |
4.1888921874335 |
L(r)(E,1)/r! |
Ω |
0.35660944788835 |
Real period |
R |
0.97887016460114 |
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 |
4081c1 |
Quadratic twists by: -7 |