Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152t |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1117955063808 = -1 · 215 · 34 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1264,-53312] |
[a1,a2,a3,a4,a6] |
j |
-54569318257/272938248 |
j-invariant |
L |
1.4455932619193 |
L(r)(E,1)/r! |
Ω |
0.36139831548002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894n2 124608cx2 93456ba2 |
Quadratic twists by: -4 8 -3 |