Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63960l |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
55261440 = 28 · 34 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-900,10692] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:144:1] |
Generators of the group modulo torsion |
j |
315278049616/215865 |
j-invariant |
L |
7.4627766388451 |
L(r)(E,1)/r! |
Ω |
1.9689535283092 |
Real period |
R |
1.8951124370573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920u1 |
Quadratic twists by: -4 |