Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.8593344E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-326670700,-2272454994000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1565589808454504480:-781066430417109375:150704660381696] |
Generators of the group modulo torsion |
j |
941226862950447171561/45393906250000 |
j-invariant |
L |
5.9654445965662 |
L(r)(E,1)/r! |
Ω |
0.035511847388638 |
Real period |
R |
20.998078669676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123200ea2 3850s2 24640e2 |
Quadratic twists by: -4 8 5 |