Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618j |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24181885435938048 = 28 · 36 · 79 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8900385,10216534581] |
[a1,a2,a3,a4,a6] |
Generators |
[1554:11103:1] |
Generators of the group modulo torsion |
j |
1932269984328505375/599249664 |
j-invariant |
L |
3.8259426410755 |
L(r)(E,1)/r! |
Ω |
0.30457437249729 |
Real period |
R |
3.1404009873202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618bd2 |
Quadratic twists by: -7 |