Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bd |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
415585571401728 = 212 · 36 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307393,-65488079] |
[a1,a2,a3,a4,a6] |
Generators |
[2707:137592:1] |
Generators of the group modulo torsion |
j |
6665900968000/862407 |
j-invariant |
L |
3.1781525383772 |
L(r)(E,1)/r! |
Ω |
0.20275861457915 |
Real period |
R |
1.9593202888263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152q2 122304ea1 8736y2 |
Quadratic twists by: -4 8 -7 |