Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520p |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-6181463817200000000 = -1 · 210 · 58 · 74 · 235 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 2 1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,408919,64508881] |
[a1,a2,a3,a4,a6] |
Generators |
[2096:100625:1] |
Generators of the group modulo torsion |
j |
7384729019637956864/6036585758984375 |
j-invariant |
L |
3.8660967548778 |
L(r)(E,1)/r! |
Ω |
0.1540874351972 |
Real period |
R |
0.62725697750054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520bk1 3220d1 |
Quadratic twists by: -4 8 |