Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400a |
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 |
[121:1558:1] |
Generators of the group modulo torsion |
j |
640503928/3404025 |
j-invariant |
L |
6.3627840756092 |
L(r)(E,1)/r! |
Ω |
0.48051721463392 |
Real period |
R |
3.310383001353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400cn2 19680w2 |
Quadratic twists by: -4 5 |