Atkin-Lehner |
3+ 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18921d |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
321657 = 3 · 7 · 172 · 53 |
Discriminant |
Eigenvalues |
1 3+ -4 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
594823321/321657 |
j-invariant |
L |
2.3668723016462 |
L(r)(E,1)/r! |
Ω |
2.663970309345 |
Real period |
R |
1.7769509617606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56763p1 |
Quadratic twists by: -3 |