Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400g |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-9963000000000000 = -1 · 212 · 35 · 512 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 5 -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-617133,186869637] |
[a1,a2,a3,a4,a6] |
j |
-406144664367616/155671875 |
j-invariant |
L |
1.6021205736476 |
L(r)(E,1)/r! |
Ω |
0.4005301630219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400be1 19680be1 |
Quadratic twists by: -4 5 |