Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136w |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-38057902272 = -1 · 26 · 33 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 4 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,315,9136] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-494:1] |
Generators of the group modulo torsion |
j |
2000376000/22024249 |
j-invariant |
L |
5.748337633007 |
L(r)(E,1)/r! |
Ω |
0.84947828833951 |
Real period |
R |
0.84586294198645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136u1 71136c1 |
Quadratic twists by: -4 -3 |