Atkin-Lehner |
2+ 13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45448a |
Isogeny class |
Conductor |
45448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
410880 |
Modular degree for the optimal curve |
Δ |
10427211190429696 = 211 · 132 · 195 · 233 |
Discriminant |
Eigenvalues |
2+ 3 -1 2 -3 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54643,185006] |
[a1,a2,a3,a4,a6] |
Generators |
[-3597925998:7898893028:15438249] |
Generators of the group modulo torsion |
j |
8810435263628178/5091411714077 |
j-invariant |
L |
10.728902144495 |
L(r)(E,1)/r! |
Ω |
0.34473278719259 |
Real period |
R |
15.56118614631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90896c1 |
Quadratic twists by: -4 |