Atkin-Lehner |
2+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2774a |
Isogeny class |
Conductor |
2774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
1686592 = 26 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 0 0 2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52,144] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
15718937625/1686592 |
j-invariant |
L |
2.497629342527 |
L(r)(E,1)/r! |
Ω |
2.5773662930038 |
Real period |
R |
0.9690626238524 |
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 |
22192b1 88768d1 24966j1 69350g1 |
Quadratic twists by: -4 8 -3 5 |