Atkin-Lehner |
2- 3- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bc |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
319845834 = 2 · 36 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-429791,108558461] |
[a1,a2,a3,a4,a6] |
Generators |
[2526:15239:8] |
Generators of the group modulo torsion |
j |
12043901286658182313/438746 |
j-invariant |
L |
7.4224575806131 |
L(r)(E,1)/r! |
Ω |
0.91827691402073 |
Real period |
R |
4.0415137674074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698a2 |
Quadratic twists by: -3 |