Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
312d |
Isogeny class |
Conductor |
312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-263218176 = -1 · 210 · 32 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,136,444] |
[a1,a2,a3,a4,a6] |
j |
269676572/257049 |
j-invariant |
L |
1.1450002182025 |
L(r)(E,1)/r! |
Ω |
1.1450002182025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
624f4 2496i4 936i4 7800u4 |
Quadratic twists by: -4 8 -3 5 |