Atkin-Lehner |
11- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
96679d |
Isogeny class |
Conductor |
96679 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
227964024818189 = 1111 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 0 -3 1 11- 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75769,-7975668] |
[a1,a2,a3,a4,a6] |
Generators |
[1026:31007:1] |
Generators of the group modulo torsion |
j |
27154192595193/128679749 |
j-invariant |
L |
2.6937333796218 |
L(r)(E,1)/r! |
Ω |
0.28783988281175 |
Real period |
R |
4.6792219088215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8789b1 |
Quadratic twists by: -11 |