Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152m |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3552013430784 = 212 · 34 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24369,-1453311] |
[a1,a2,a3,a4,a6] |
Generators |
[691:17640:1] |
Generators of the group modulo torsion |
j |
3321287488/7371 |
j-invariant |
L |
3.0735037157952 |
L(r)(E,1)/r! |
Ω |
0.38216116683477 |
Real period |
R |
4.0212140620807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152ce4 122304dg1 8736j3 |
Quadratic twists by: -4 8 -7 |