Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042a |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
10050794496 = 210 · 33 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-633,-4059] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:55:1] [-7:13:1] |
Generators of the group modulo torsion |
j |
28119423707929/10050794496 |
j-invariant |
L |
3.0940702607343 |
L(r)(E,1)/r! |
Ω |
0.97979757247659 |
Real period |
R |
0.5263111394383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336bi1 18126r1 114798ba1 |
Quadratic twists by: -4 -3 -19 |