Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320q |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
504394808400 = 24 · 37 · 52 · 73 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3702,-79679] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:45:1] |
Generators of the group modulo torsion |
j |
481044711424/43243725 |
j-invariant |
L |
5.732017449366 |
L(r)(E,1)/r! |
Ω |
0.61557208493071 |
Real period |
R |
1.1639614567216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440u1 |
Quadratic twists by: -3 |