Atkin-Lehner |
3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775c |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
15185126953125 = 39 · 510 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 -3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2557617,-1573711084] |
[a1,a2,a3,a4,a6] |
Generators |
[444207917728498700:39461164396410047948:53442048419963] |
Generators of the group modulo torsion |
j |
9625848046875/79 |
j-invariant |
L |
6.818154395752 |
L(r)(E,1)/r! |
Ω |
0.11938250005328 |
Real period |
R |
28.555920644606 |
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 |
17775f1 17775o1 |
Quadratic twists by: -3 5 |