Atkin-Lehner |
2+ 3+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
31512a |
Isogeny class |
Conductor |
31512 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1355143568643072 = 210 · 310 · 133 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38688,2345724] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:1944:1] |
Generators of the group modulo torsion |
j |
6254085562298500/1323382391253 |
j-invariant |
L |
5.2813805689554 |
L(r)(E,1)/r! |
Ω |
0.45511380424701 |
Real period |
R |
1.9340878844188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63024e2 94536g2 |
Quadratic twists by: -4 -3 |