Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400d |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
85100625000000 = 26 · 34 · 510 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17758,-789488] |
[a1,a2,a3,a4,a6] |
j |
619341701824/85100625 |
j-invariant |
L |
3.3387138138785 |
L(r)(E,1)/r! |
Ω |
0.41733924280556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98400w1 19680bd1 |
Quadratic twists by: -4 5 |