Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bi |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
136538348384592 = 24 · 38 · 74 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-256856,50166155] |
[a1,a2,a3,a4,a6] |
Generators |
[303:145:1] |
Generators of the group modulo torsion |
j |
2570773081501897273/187295402448 |
j-invariant |
L |
7.6752226986959 |
L(r)(E,1)/r! |
Ω |
0.55470476216272 |
Real period |
R |
0.43239345629407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094j3 |
Quadratic twists by: -3 |