Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bg |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-83896819200 = -1 · 29 · 311 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1077,3022] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-162:1] |
Generators of the group modulo torsion |
j |
370146232/224775 |
j-invariant |
L |
6.5361247101002 |
L(r)(E,1)/r! |
Ω |
0.66377573432115 |
Real period |
R |
0.61543044323259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280bi1 106560gb1 17760o1 |
Quadratic twists by: -4 8 -3 |