Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410d |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
523087324841250 = 2 · 33 · 54 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20347,-201341] |
[a1,a2,a3,a4,a6] |
j |
931661646976029241/523087324841250 |
j-invariant |
L |
0.85979297349825 |
L(r)(E,1)/r! |
Ω |
0.42989648674913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280bw3 22230bf3 37050cc3 96330bx3 |
Quadratic twists by: -4 -3 5 13 |