Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410q |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
222309381060000 = 25 · 38 · 54 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14556860,-21383208835] |
[a1,a2,a3,a4,a6] |
j |
341135431944367622806895041/222309381060000 |
j-invariant |
L |
1.5458331767073 |
L(r)(E,1)/r! |
Ω |
0.077291658835366 |
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 |
59280cl4 22230p4 37050bb4 96330n4 |
Quadratic twists by: -4 -3 5 13 |