Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200l |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
35986860000000000 = 211 · 32 · 510 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102408,-8672688] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:942:1] [-198:1950:1] |
Generators of the group modulo torsion |
j |
3711757787138/1124589375 |
j-invariant |
L |
9.5151550938408 |
L(r)(E,1)/r! |
Ω |
0.27315281858 |
Real period |
R |
2.1771592780809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bb3 21840q3 |
Quadratic twists by: -4 5 |