Atkin-Lehner |
3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775f |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
20830078125 = 33 · 510 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 -4 -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284180,58380322] |
[a1,a2,a3,a4,a6] |
Generators |
[308:-154:1] |
Generators of the group modulo torsion |
j |
9625848046875/79 |
j-invariant |
L |
3.1128744333852 |
L(r)(E,1)/r! |
Ω |
0.84004900706012 |
Real period |
R |
1.8527933532587 |
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 |
17775c1 17775k1 |
Quadratic twists by: -3 5 |