Atkin-Lehner |
3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8463i |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1197116739 = 34 · 7 · 133 · 312 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78822502,269347434305] |
[a1,a2,a3,a4,a6] |
j |
54159463405004131864095149017/1197116739 |
j-invariant |
L |
2.1898229563782 |
L(r)(E,1)/r! |
Ω |
0.36497049272971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25389h4 59241d4 110019v4 |
Quadratic twists by: -3 -7 13 |