Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400cn |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-27232200000000 = -1 · 29 · 34 · 58 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3592,-235812] |
[a1,a2,a3,a4,a6] |
Generators |
[6986:207009:8] |
Generators of the group modulo torsion |
j |
640503928/3404025 |
j-invariant |
L |
7.0267947184547 |
L(r)(E,1)/r! |
Ω |
0.33484025388652 |
Real period |
R |
5.2463784115239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400a2 19680a2 |
Quadratic twists by: -4 5 |