Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42891c |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1747200 |
Modular degree for the optimal curve |
Δ |
-1.3558424151471E+19 |
Discriminant |
Eigenvalues |
2 3+ -3 -2 -5 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-229032,-182036545] |
[a1,a2,a3,a4,a6] |
Generators |
[31796452856:-2259859148899:6229504] |
Generators of the group modulo torsion |
j |
-2233706549248/22794035931 |
j-invariant |
L |
5.3076759753811 |
L(r)(E,1)/r! |
Ω |
0.094848161851167 |
Real period |
R |
13.989928407125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673s1 1479g1 |
Quadratic twists by: -3 29 |