Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
402d |
Isogeny class |
Conductor |
402 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13812614823936 = -1 · 236 · 3 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10255,-438718] |
[a1,a2,a3,a4,a6] |
Generators |
[43995:764372:125] |
Generators of the group modulo torsion |
j |
-119253141177582313/13812614823936 |
j-invariant |
L |
1.4143116144197 |
L(r)(E,1)/r! |
Ω |
0.23567973845959 |
Real period |
R |
3.0004947045165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3216d3 12864c3 1206f3 10050t3 |
Quadratic twists by: -4 8 -3 5 |