Atkin-Lehner |
2- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
49450p |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-457165250000 = -1 · 24 · 56 · 23 · 433 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 5 -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1920,2547] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-1125:1] |
Generators of the group modulo torsion |
j |
50120963703/29258576 |
j-invariant |
L |
5.0048754624206 |
L(r)(E,1)/r! |
Ω |
0.56670934412603 |
Real period |
R |
0.18398891756527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978b1 |
Quadratic twists by: 5 |