Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410d |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5946547230 = 2 · 33 · 5 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-243367,-46312049] |
[a1,a2,a3,a4,a6] |
j |
1594085333838169257721/5946547230 |
j-invariant |
L |
0.85979297349825 |
L(r)(E,1)/r! |
Ω |
0.21494824337456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280bw4 22230bf4 37050cc4 96330bx4 |
Quadratic twists by: -4 -3 5 13 |